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Finding the Fourth Proportional to 497.76, 743.34 and 424.80

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Solution

The fourth proportional to 497.76, 743.34 and 424.80 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 743.34 = 424.80 : x
  2. Step 2: Convert to fraction form
    497.76/743.34 = 424.80/x
  3. Step 3: Cross multiply
    497.76x = 743.34 × 424.80
  4. Step 4: Simplify right side
    497.76x = 315,770.83
  5. Step 5: Solve for x
    x = 315,770.83/497.76
  6. Step 6: Final answer
    x = 634.38

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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.