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Finding the Fourth Proportional to 691.20, 954.20 and 471.30

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Solution

The fourth proportional to 691.20, 954.20 and 471.30 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 954.20 = 471.30 : x
  2. Step 2: Convert to fraction form
    691.20/954.20 = 471.30/x
  3. Step 3: Cross multiply
    691.20x = 954.20 × 471.30
  4. Step 4: Simplify right side
    691.20x = 449,712.10
  5. Step 5: Solve for x
    x = 449,712.10/691.20
  6. Step 6: Final answer
    x = 650.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.