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Finding the Fourth Proportional to 352.92, 487.40 and 242.68

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Solution

The fourth proportional to 352.92, 487.40 and 242.68 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.92 : 487.40 = 242.68 : x
  2. Step 2: Convert to fraction form
    352.92/487.40 = 242.68/x
  3. Step 3: Cross multiply
    352.92x = 487.40 × 242.68
  4. Step 4: Simplify right side
    352.92x = 118,282.23
  5. Step 5: Solve for x
    x = 118,282.23/352.92
  6. Step 6: Final answer
    x = 335.15

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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.