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Finding the Fourth Proportional to 388.52, 582.72 and 169.24

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Solution

The fourth proportional to 388.52, 582.72 and 169.24 is: 253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.52 : 582.72 = 169.24 : x
  2. Step 2: Convert to fraction form
    388.52/582.72 = 169.24/x
  3. Step 3: Cross multiply
    388.52x = 582.72 × 169.24
  4. Step 4: Simplify right side
    388.52x = 98,619.53
  5. Step 5: Solve for x
    x = 98,619.53/388.52
  6. Step 6: Final answer
    x = 253.83

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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.