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Finding the Fourth Proportional to 532.56, 798.96 and 207.96

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Solution

The fourth proportional to 532.56, 798.96 and 207.96 is: 311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.56 : 798.96 = 207.96 : x
  2. Step 2: Convert to fraction form
    532.56/798.96 = 207.96/x
  3. Step 3: Cross multiply
    532.56x = 798.96 × 207.96
  4. Step 4: Simplify right side
    532.56x = 166,151.72
  5. Step 5: Solve for x
    x = 166,151.72/532.56
  6. Step 6: Final answer
    x = 311.99

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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.