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Finding the Fourth Proportional to 498.59, 747.92 and 282.35

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Solution

The fourth proportional to 498.59, 747.92 and 282.35 is: 423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.59 : 747.92 = 282.35 : x
  2. Step 2: Convert to fraction form
    498.59/747.92 = 282.35/x
  3. Step 3: Cross multiply
    498.59x = 747.92 × 282.35
  4. Step 4: Simplify right side
    498.59x = 211,173.80
  5. Step 5: Solve for x
    x = 211,173.80/498.59
  6. Step 6: Final answer
    x = 423.54

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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.