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Finding the Fourth Proportional to 498.62, 688.16 and 359.19

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Solution

The fourth proportional to 498.62, 688.16 and 359.19 is: 495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.62 : 688.16 = 359.19 : x
  2. Step 2: Convert to fraction form
    498.62/688.16 = 359.19/x
  3. Step 3: Cross multiply
    498.62x = 688.16 × 359.19
  4. Step 4: Simplify right side
    498.62x = 247,180.19
  5. Step 5: Solve for x
    x = 247,180.19/498.62
  6. Step 6: Final answer
    x = 495.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.