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Finding the Fourth Proportional to 415.92, 574.02 and 258.58

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Solution

The fourth proportional to 415.92, 574.02 and 258.58 is: 356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 574.02 = 258.58 : x
  2. Step 2: Convert to fraction form
    415.92/574.02 = 258.58/x
  3. Step 3: Cross multiply
    415.92x = 574.02 × 258.58
  4. Step 4: Simplify right side
    415.92x = 148,430.09
  5. Step 5: Solve for x
    x = 148,430.09/415.92
  6. Step 6: Final answer
    x = 356.87

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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.