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Finding the Fourth Proportional to 497.76, 747.23 and 495.53

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Solution

The fourth proportional to 497.76, 747.23 and 495.53 is: 743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 747.23 = 495.53 : x
  2. Step 2: Convert to fraction form
    497.76/747.23 = 495.53/x
  3. Step 3: Cross multiply
    497.76x = 747.23 × 495.53
  4. Step 4: Simplify right side
    497.76x = 370,275.67
  5. Step 5: Solve for x
    x = 370,275.67/497.76
  6. Step 6: Final answer
    x = 743.88

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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.