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Finding the Fourth Proportional to 500.98, 750.48 and 450.28

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Solution

The fourth proportional to 500.98, 750.48 and 450.28 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 750.48 = 450.28 : x
  2. Step 2: Convert to fraction form
    500.98/750.48 = 450.28/x
  3. Step 3: Cross multiply
    500.98x = 750.48 × 450.28
  4. Step 4: Simplify right side
    500.98x = 337,926.13
  5. Step 5: Solve for x
    x = 337,926.13/500.98
  6. Step 6: Final answer
    x = 674.53

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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.