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Finding the Fourth Proportional to 349.20, 521.38 and 284.24

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Solution

The fourth proportional to 349.20, 521.38 and 284.24 is: 424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.20 : 521.38 = 284.24 : x
  2. Step 2: Convert to fraction form
    349.20/521.38 = 284.24/x
  3. Step 3: Cross multiply
    349.20x = 521.38 × 284.24
  4. Step 4: Simplify right side
    349.20x = 148,197.05
  5. Step 5: Solve for x
    x = 148,197.05/349.20
  6. Step 6: Final answer
    x = 424.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.