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Finding the Fourth Proportional to 363.92, 501.48 and 260.24

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Solution

The fourth proportional to 363.92, 501.48 and 260.24 is: 358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 501.48 = 260.24 : x
  2. Step 2: Convert to fraction form
    363.92/501.48 = 260.24/x
  3. Step 3: Cross multiply
    363.92x = 501.48 × 260.24
  4. Step 4: Simplify right side
    363.92x = 130,505.16
  5. Step 5: Solve for x
    x = 130,505.16/363.92
  6. Step 6: Final answer
    x = 358.61

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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.