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Finding the Fourth Proportional to 415.32, 573.01 and 257.91

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Solution

The fourth proportional to 415.32, 573.01 and 257.91 is: 355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.32 : 573.01 = 257.91 : x
  2. Step 2: Convert to fraction form
    415.32/573.01 = 257.91/x
  3. Step 3: Cross multiply
    415.32x = 573.01 × 257.91
  4. Step 4: Simplify right side
    415.32x = 147,785.01
  5. Step 5: Solve for x
    x = 147,785.01/415.32
  6. Step 6: Final answer
    x = 355.83

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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.