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Finding the Fourth Proportional to 665.71, 998.57 and 232.77

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Solution

The fourth proportional to 665.71, 998.57 and 232.77 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.71 : 998.57 = 232.77 : x
  2. Step 2: Convert to fraction form
    665.71/998.57 = 232.77/x
  3. Step 3: Cross multiply
    665.71x = 998.57 × 232.77
  4. Step 4: Simplify right side
    665.71x = 232,430.98
  5. Step 5: Solve for x
    x = 232,430.98/665.71
  6. Step 6: Final answer
    x = 349.15

Related Problems

Find fourth proportional to 332.86, 499.28 and 116.38
Half scale
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Double scale
Find fourth proportional to 666.71, 1,000.07 and 233.77
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.