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Finding the Fourth Proportional to 570.80, 787.70 and 337.92

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Solution

The fourth proportional to 570.80, 787.70 and 337.92 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.80 : 787.70 = 337.92 : x
  2. Step 2: Convert to fraction form
    570.80/787.70 = 337.92/x
  3. Step 3: Cross multiply
    570.80x = 787.70 × 337.92
  4. Step 4: Simplify right side
    570.80x = 266,179.58
  5. Step 5: Solve for x
    x = 266,179.58/570.80
  6. Step 6: Final answer
    x = 466.33

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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.