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Finding the Fourth Proportional to 532.26, 798.36 and 185.46

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Solution

The fourth proportional to 532.26, 798.36 and 185.46 is: 278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 798.36 = 185.46 : x
  2. Step 2: Convert to fraction form
    532.26/798.36 = 185.46/x
  3. Step 3: Cross multiply
    532.26x = 798.36 × 185.46
  4. Step 4: Simplify right side
    532.26x = 148,063.85
  5. Step 5: Solve for x
    x = 148,063.85/532.26
  6. Step 6: Final answer
    x = 278.18

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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.