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Finding the Fourth Proportional to 570.57, 787.38 and 371.43

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Solution

The fourth proportional to 570.57, 787.38 and 371.43 is: 512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.57 : 787.38 = 371.43 : x
  2. Step 2: Convert to fraction form
    570.57/787.38 = 371.43/x
  3. Step 3: Cross multiply
    570.57x = 787.38 × 371.43
  4. Step 4: Simplify right side
    570.57x = 292,456.55
  5. Step 5: Solve for x
    x = 292,456.55/570.57
  6. Step 6: Final answer
    x = 512.57

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Why These Related Problems?

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