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Finding the Fourth Proportional to 561.02, 772.17 and 477.86

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Solution

The fourth proportional to 561.02, 772.17 and 477.86 is: 657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.02 : 772.17 = 477.86 : x
  2. Step 2: Convert to fraction form
    561.02/772.17 = 477.86/x
  3. Step 3: Cross multiply
    561.02x = 772.17 × 477.86
  4. Step 4: Simplify right side
    561.02x = 368,989.16
  5. Step 5: Solve for x
    x = 368,989.16/561.02
  6. Step 6: Final answer
    x = 657.71

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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.