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Finding the Fourth Proportional to 471.54, 708.11 and 307.29

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Solution

The fourth proportional to 471.54, 708.11 and 307.29 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.54 : 708.11 = 307.29 : x
  2. Step 2: Convert to fraction form
    471.54/708.11 = 307.29/x
  3. Step 3: Cross multiply
    471.54x = 708.11 × 307.29
  4. Step 4: Simplify right side
    471.54x = 217,593.59
  5. Step 5: Solve for x
    x = 217,593.59/471.54
  6. Step 6: Final answer
    x = 461.45

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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.