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Finding the Fourth Proportional to 498.62, 748.10 and 304.01

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Solution

The fourth proportional to 498.62, 748.10 and 304.01 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.62 : 748.10 = 304.01 : x
  2. Step 2: Convert to fraction form
    498.62/748.10 = 304.01/x
  3. Step 3: Cross multiply
    498.62x = 748.10 × 304.01
  4. Step 4: Simplify right side
    498.62x = 227,429.88
  5. Step 5: Solve for x
    x = 227,429.88/498.62
  6. Step 6: Final answer
    x = 456.12

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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.