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Finding the Fourth Proportional to 498.17, 745.72 and 424.36

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Solution

The fourth proportional to 498.17, 745.72 and 424.36 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.17 : 745.72 = 424.36 : x
  2. Step 2: Convert to fraction form
    498.17/745.72 = 424.36/x
  3. Step 3: Cross multiply
    498.17x = 745.72 × 424.36
  4. Step 4: Simplify right side
    498.17x = 316,453.61
  5. Step 5: Solve for x
    x = 316,453.61/498.17
  6. Step 6: Final answer
    x = 635.23

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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.