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Finding the Fourth Proportional to 501.74, 752.72 and 296.48

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Solution

The fourth proportional to 501.74, 752.72 and 296.48 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 752.72 = 296.48 : x
  2. Step 2: Convert to fraction form
    501.74/752.72 = 296.48/x
  3. Step 3: Cross multiply
    501.74x = 752.72 × 296.48
  4. Step 4: Simplify right side
    501.74x = 223,166.43
  5. Step 5: Solve for x
    x = 223,166.43/501.74
  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.