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Finding the Fourth Proportional to 415.24, 572.70 and 257.78

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Solution

The fourth proportional to 415.24, 572.70 and 257.78 is: 355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 572.70 = 257.78 : x
  2. Step 2: Convert to fraction form
    415.24/572.70 = 257.78/x
  3. Step 3: Cross multiply
    415.24x = 572.70 × 257.78
  4. Step 4: Simplify right side
    415.24x = 147,633.00
  5. Step 5: Solve for x
    x = 147,633.00/415.24
  6. Step 6: Final answer
    x = 355.54

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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.