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Finding the Fourth Proportional to 532.31, 733.88 and 366.23

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Solution

The fourth proportional to 532.31, 733.88 and 366.23 is: 504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 733.88 = 366.23 : x
  2. Step 2: Convert to fraction form
    532.31/733.88 = 366.23/x
  3. Step 3: Cross multiply
    532.31x = 733.88 × 366.23
  4. Step 4: Simplify right side
    532.31x = 268,763.37
  5. Step 5: Solve for x
    x = 268,763.37/532.31
  6. Step 6: Final answer
    x = 504.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.