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Finding the Fourth Proportional to 572.19, 787.56 and 477.87

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Solution

The fourth proportional to 572.19, 787.56 and 477.87 is: 657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.19 : 787.56 = 477.87 : x
  2. Step 2: Convert to fraction form
    572.19/787.56 = 477.87/x
  3. Step 3: Cross multiply
    572.19x = 787.56 × 477.87
  4. Step 4: Simplify right side
    572.19x = 376,351.30
  5. Step 5: Solve for x
    x = 376,351.30/572.19
  6. Step 6: Final answer
    x = 657.74

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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.