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Finding the Fourth Proportional to 665.62, 998.56 and 233.08

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Solution

The fourth proportional to 665.62, 998.56 and 233.08 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.62 : 998.56 = 233.08 : x
  2. Step 2: Convert to fraction form
    665.62/998.56 = 233.08/x
  3. Step 3: Cross multiply
    665.62x = 998.56 × 233.08
  4. Step 4: Simplify right side
    665.62x = 232,742.16
  5. Step 5: Solve for x
    x = 232,742.16/665.62
  6. Step 6: Final answer
    x = 349.66

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