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Finding the Fourth Proportional to 385.80, 531.70 and 363.40

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Solution

The fourth proportional to 385.80, 531.70 and 363.40 is: 500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 531.70 = 363.40 : x
  2. Step 2: Convert to fraction form
    385.80/531.70 = 363.40/x
  3. Step 3: Cross multiply
    385.80x = 531.70 × 363.40
  4. Step 4: Simplify right side
    385.80x = 193,219.78
  5. Step 5: Solve for x
    x = 193,219.78/385.80
  6. Step 6: Final answer
    x = 500.83

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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.