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Finding the Fourth Proportional to 532.28, 797.49 and 475.77

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Solution

The fourth proportional to 532.28, 797.49 and 475.77 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.28 : 797.49 = 475.77 : x
  2. Step 2: Convert to fraction form
    532.28/797.49 = 475.77/x
  3. Step 3: Cross multiply
    532.28x = 797.49 × 475.77
  4. Step 4: Simplify right side
    532.28x = 379,421.82
  5. Step 5: Solve for x
    x = 379,421.82/532.28
  6. Step 6: Final answer
    x = 712.83

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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.