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Finding the Fourth Proportional to 500.10, 749.61 and 438.90

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Solution

The fourth proportional to 500.10, 749.61 and 438.90 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 749.61 = 438.90 : x
  2. Step 2: Convert to fraction form
    500.10/749.61 = 438.90/x
  3. Step 3: Cross multiply
    500.10x = 749.61 × 438.90
  4. Step 4: Simplify right side
    500.10x = 329,003.83
  5. Step 5: Solve for x
    x = 329,003.83/500.10
  6. Step 6: Final answer
    x = 657.88

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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.