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Finding the Fourth Proportional to 387.68, 584.24 and 349.20

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Solution

The fourth proportional to 387.68, 584.24 and 349.20 is: 526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.68 : 584.24 = 349.20 : x
  2. Step 2: Convert to fraction form
    387.68/584.24 = 349.20/x
  3. Step 3: Cross multiply
    387.68x = 584.24 × 349.20
  4. Step 4: Simplify right side
    387.68x = 204,016.61
  5. Step 5: Solve for x
    x = 204,016.61/387.68
  6. Step 6: Final answer
    x = 526.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.