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Finding the Fourth Proportional to 532.50, 795.50 and 424.41

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Solution

The fourth proportional to 532.50, 795.50 and 424.41 is: 634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 795.50 = 424.41 : x
  2. Step 2: Convert to fraction form
    532.50/795.50 = 424.41/x
  3. Step 3: Cross multiply
    532.50x = 795.50 × 424.41
  4. Step 4: Simplify right side
    532.50x = 337,618.16
  5. Step 5: Solve for x
    x = 337,618.16/532.50
  6. Step 6: Final answer
    x = 634.02

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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.