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Finding the Fourth Proportional to 532.43, 798.99 and 207.80

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Solution

The fourth proportional to 532.43, 798.99 and 207.80 is: 311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.43 : 798.99 = 207.80 : x
  2. Step 2: Convert to fraction form
    532.43/798.99 = 207.80/x
  3. Step 3: Cross multiply
    532.43x = 798.99 × 207.80
  4. Step 4: Simplify right side
    532.43x = 166,026.13
  5. Step 5: Solve for x
    x = 166,026.13/532.43
  6. Step 6: Final answer
    x = 311.83

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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.