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Finding the Fourth Proportional to 415.08, 573.03 and 257.76

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Solution

The fourth proportional to 415.08, 573.03 and 257.76 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.08 : 573.03 = 257.76 : x
  2. Step 2: Convert to fraction form
    415.08/573.03 = 257.76/x
  3. Step 3: Cross multiply
    415.08x = 573.03 × 257.76
  4. Step 4: Simplify right side
    415.08x = 147,704.21
  5. Step 5: Solve for x
    x = 147,704.21/415.08
  6. Step 6: Final answer
    x = 355.85

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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.