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Finding the Fourth Proportional to 500.80, 750.56 and 442.88

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Solution

The fourth proportional to 500.80, 750.56 and 442.88 is: 663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 750.56 = 442.88 : x
  2. Step 2: Convert to fraction form
    500.80/750.56 = 442.88/x
  3. Step 3: Cross multiply
    500.80x = 750.56 × 442.88
  4. Step 4: Simplify right side
    500.80x = 332,408.01
  5. Step 5: Solve for x
    x = 332,408.01/500.80
  6. Step 6: Final answer
    x = 663.75

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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.