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Finding the Fourth Proportional to 665.82, 998.73 and 233.28

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Solution

The fourth proportional to 665.82, 998.73 and 233.28 is: 349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 998.73 = 233.28 : x
  2. Step 2: Convert to fraction form
    665.82/998.73 = 233.28/x
  3. Step 3: Cross multiply
    665.82x = 998.73 × 233.28
  4. Step 4: Simplify right side
    665.82x = 232,983.73
  5. Step 5: Solve for x
    x = 232,983.73/665.82
  6. Step 6: Final answer
    x = 349.92

Related Problems

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Half scale
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Double scale
Find fourth proportional to 666.82, 1,000.23 and 234.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.