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Finding the Fourth Proportional to 500.28, 749.67 and 315.30

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Solution

The fourth proportional to 500.28, 749.67 and 315.30 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 749.67 = 315.30 : x
  2. Step 2: Convert to fraction form
    500.28/749.67 = 315.30/x
  3. Step 3: Cross multiply
    500.28x = 749.67 × 315.30
  4. Step 4: Simplify right side
    500.28x = 236,370.95
  5. Step 5: Solve for x
    x = 236,370.95/500.28
  6. Step 6: Final answer
    x = 472.48

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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.