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Finding the Fourth Proportional to 570.53, 787.34 and 371.43

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Solution

The fourth proportional to 570.53, 787.34 and 371.43 is: 512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.53 : 787.34 = 371.43 : x
  2. Step 2: Convert to fraction form
    570.53/787.34 = 371.43/x
  3. Step 3: Cross multiply
    570.53x = 787.34 × 371.43
  4. Step 4: Simplify right side
    570.53x = 292,439.84
  5. Step 5: Solve for x
    x = 292,439.84/570.53
  6. Step 6: Final answer
    x = 512.58

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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.