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Finding the Fourth Proportional to 532.24, 798.59 and 207.84

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Solution

The fourth proportional to 532.24, 798.59 and 207.84 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.24 : 798.59 = 207.84 : x
  2. Step 2: Convert to fraction form
    532.24/798.59 = 207.84/x
  3. Step 3: Cross multiply
    532.24x = 798.59 × 207.84
  4. Step 4: Simplify right side
    532.24x = 165,978.95
  5. Step 5: Solve for x
    x = 165,978.95/532.24
  6. Step 6: Final answer
    x = 311.85

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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.