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Finding the Fourth Proportional to 532.08, 798.09 and 185.43

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Solution

The fourth proportional to 532.08, 798.09 and 185.43 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 798.09 = 185.43 : x
  2. Step 2: Convert to fraction form
    532.08/798.09 = 185.43/x
  3. Step 3: Cross multiply
    532.08x = 798.09 × 185.43
  4. Step 4: Simplify right side
    532.08x = 147,989.83
  5. Step 5: Solve for x
    x = 147,989.83/532.08
  6. Step 6: Final answer
    x = 278.13

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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.