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Finding the Fourth Proportional to 498.24, 688.46 and 358.82

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Solution

The fourth proportional to 498.24, 688.46 and 358.82 is: 495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 688.46 = 358.82 : x
  2. Step 2: Convert to fraction form
    498.24/688.46 = 358.82/x
  3. Step 3: Cross multiply
    498.24x = 688.46 × 358.82
  4. Step 4: Simplify right side
    498.24x = 247,027.98
  5. Step 5: Solve for x
    x = 247,027.98/498.24
  6. Step 6: Final answer
    x = 495.80

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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.