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Finding the Fourth Proportional to 498.48, 742.07 and 474.90

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Solution

The fourth proportional to 498.48, 742.07 and 474.90 is: 706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 742.07 = 474.90 : x
  2. Step 2: Convert to fraction form
    498.48/742.07 = 474.90/x
  3. Step 3: Cross multiply
    498.48x = 742.07 × 474.90
  4. Step 4: Simplify right side
    498.48x = 352,406.67
  5. Step 5: Solve for x
    x = 352,406.67/498.48
  6. Step 6: Final answer
    x = 706.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.