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Finding the Fourth Proportional to 415.22, 572.92 and 259.88

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Solution

The fourth proportional to 415.22, 572.92 and 259.88 is: 358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.22 : 572.92 = 259.88 : x
  2. Step 2: Convert to fraction form
    415.22/572.92 = 259.88/x
  3. Step 3: Cross multiply
    415.22x = 572.92 × 259.88
  4. Step 4: Simplify right side
    415.22x = 148,886.94
  5. Step 5: Solve for x
    x = 148,886.94/415.22
  6. Step 6: Final answer
    x = 358.58

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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.