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Finding the Fourth Proportional to 532.47, 798.23 and 207.77

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Solution

The fourth proportional to 532.47, 798.23 and 207.77 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.47 : 798.23 = 207.77 : x
  2. Step 2: Convert to fraction form
    532.47/798.23 = 207.77/x
  3. Step 3: Cross multiply
    532.47x = 798.23 × 207.77
  4. Step 4: Simplify right side
    532.47x = 165,843.22
  5. Step 5: Solve for x
    x = 165,843.22/532.47
  6. Step 6: Final answer
    x = 311.46

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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.