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Finding the Fourth Proportional to 384.20, 517.05 and 384.20

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Solution

The fourth proportional to 384.20, 517.05 and 384.20 is: 517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 517.05 = 384.20 : x
  2. Step 2: Convert to fraction form
    384.20/517.05 = 384.20/x
  3. Step 3: Cross multiply
    384.20x = 517.05 × 384.20
  4. Step 4: Simplify right side
    384.20x = 198,650.61
  5. Step 5: Solve for x
    x = 198,650.61/384.20
  6. Step 6: Final answer
    x = 517.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.