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Finding the Fourth Proportional to 522.71, 787.12 and 386.71

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Solution

The fourth proportional to 522.71, 787.12 and 386.71 is: 582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.71 : 787.12 = 386.71 : x
  2. Step 2: Convert to fraction form
    522.71/787.12 = 386.71/x
  3. Step 3: Cross multiply
    522.71x = 787.12 × 386.71
  4. Step 4: Simplify right side
    522.71x = 304,385.24
  5. Step 5: Solve for x
    x = 304,385.24/522.71
  6. Step 6: Final answer
    x = 582.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.