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Finding the Fourth Proportional to 501.73, 752.72 and 296.47

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Solution

The fourth proportional to 501.73, 752.72 and 296.47 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.73 : 752.72 = 296.47 : x
  2. Step 2: Convert to fraction form
    501.73/752.72 = 296.47/x
  3. Step 3: Cross multiply
    501.73x = 752.72 × 296.47
  4. Step 4: Simplify right side
    501.73x = 223,158.90
  5. Step 5: Solve for x
    x = 223,158.90/501.73
  6. Step 6: Final answer
    x = 444.78

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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.