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Finding the Fourth Proportional to 500.43, 750.87 and 208.14

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Solution

The fourth proportional to 500.43, 750.87 and 208.14 is: 312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 750.87 = 208.14 : x
  2. Step 2: Convert to fraction form
    500.43/750.87 = 208.14/x
  3. Step 3: Cross multiply
    500.43x = 750.87 × 208.14
  4. Step 4: Simplify right side
    500.43x = 156,286.08
  5. Step 5: Solve for x
    x = 156,286.08/500.43
  6. Step 6: Final answer
    x = 312.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.