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Finding the Fourth Proportional to 498.71, 749.07 and 480.48

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Solution

The fourth proportional to 498.71, 749.07 and 480.48 is: 721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.71 : 749.07 = 480.48 : x
  2. Step 2: Convert to fraction form
    498.71/749.07 = 480.48/x
  3. Step 3: Cross multiply
    498.71x = 749.07 × 480.48
  4. Step 4: Simplify right side
    498.71x = 359,913.15
  5. Step 5: Solve for x
    x = 359,913.15/498.71
  6. Step 6: Final answer
    x = 721.70

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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.