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Finding the Fourth Proportional to 532.60, 797.94 and 207.76

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Solution

The fourth proportional to 532.60, 797.94 and 207.76 is: 311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.60 : 797.94 = 207.76 : x
  2. Step 2: Convert to fraction form
    532.60/797.94 = 207.76/x
  3. Step 3: Cross multiply
    532.60x = 797.94 × 207.76
  4. Step 4: Simplify right side
    532.60x = 165,780.01
  5. Step 5: Solve for x
    x = 165,780.01/532.60
  6. Step 6: Final answer
    x = 311.27

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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.