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Finding the Fourth Proportional to 498.63, 747.41 and 316.11

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Solution

The fourth proportional to 498.63, 747.41 and 316.11 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.63 : 747.41 = 316.11 : x
  2. Step 2: Convert to fraction form
    498.63/747.41 = 316.11/x
  3. Step 3: Cross multiply
    498.63x = 747.41 × 316.11
  4. Step 4: Simplify right side
    498.63x = 236,262.19
  5. Step 5: Solve for x
    x = 236,262.19/498.63
  6. Step 6: Final answer
    x = 473.82

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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.