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Finding the Fourth Proportional to 532.22, 798.46 and 207.47

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Solution

The fourth proportional to 532.22, 798.46 and 207.47 is: 311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.22 : 798.46 = 207.47 : x
  2. Step 2: Convert to fraction form
    532.22/798.46 = 207.47/x
  3. Step 3: Cross multiply
    532.22x = 798.46 × 207.47
  4. Step 4: Simplify right side
    532.22x = 165,657.97
  5. Step 5: Solve for x
    x = 165,657.97/532.22
  6. Step 6: Final answer
    x = 311.26

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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.