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Finding the Fourth Proportional to 570.78, 787.50 and 337.86

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Solution

The fourth proportional to 570.78, 787.50 and 337.86 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 787.50 = 337.86 : x
  2. Step 2: Convert to fraction form
    570.78/787.50 = 337.86/x
  3. Step 3: Cross multiply
    570.78x = 787.50 × 337.86
  4. Step 4: Simplify right side
    570.78x = 266,064.75
  5. Step 5: Solve for x
    x = 266,064.75/570.78
  6. Step 6: Final answer
    x = 466.14

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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.