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Finding the Fourth Proportional to 532.87, 798.15 and 301.64

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Solution

The fourth proportional to 532.87, 798.15 and 301.64 is: 451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.87 : 798.15 = 301.64 : x
  2. Step 2: Convert to fraction form
    532.87/798.15 = 301.64/x
  3. Step 3: Cross multiply
    532.87x = 798.15 × 301.64
  4. Step 4: Simplify right side
    532.87x = 240,753.97
  5. Step 5: Solve for x
    x = 240,753.97/532.87
  6. Step 6: Final answer
    x = 451.81

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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.