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Finding the Fourth Proportional to 498.67, 752.51 and 483.28

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Solution

The fourth proportional to 498.67, 752.51 and 483.28 is: 729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.67 : 752.51 = 483.28 : x
  2. Step 2: Convert to fraction form
    498.67/752.51 = 483.28/x
  3. Step 3: Cross multiply
    498.67x = 752.51 × 483.28
  4. Step 4: Simplify right side
    498.67x = 363,673.03
  5. Step 5: Solve for x
    x = 363,673.03/498.67
  6. Step 6: Final answer
    x = 729.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.