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Finding the Fourth Proportional to 498.76, 746.34 and 282.52

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Solution

The fourth proportional to 498.76, 746.34 and 282.52 is: 422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.76 : 746.34 = 282.52 : x
  2. Step 2: Convert to fraction form
    498.76/746.34 = 282.52/x
  3. Step 3: Cross multiply
    498.76x = 746.34 × 282.52
  4. Step 4: Simplify right side
    498.76x = 210,855.98
  5. Step 5: Solve for x
    x = 210,855.98/498.76
  6. Step 6: Final answer
    x = 422.76

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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.