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Finding the Fourth Proportional to 411.48, 616.50 and 248.85

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Solution

The fourth proportional to 411.48, 616.50 and 248.85 is: 372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 616.50 = 248.85 : x
  2. Step 2: Convert to fraction form
    411.48/616.50 = 248.85/x
  3. Step 3: Cross multiply
    411.48x = 616.50 × 248.85
  4. Step 4: Simplify right side
    411.48x = 153,416.03
  5. Step 5: Solve for x
    x = 153,416.03/411.48
  6. Step 6: Final answer
    x = 372.84

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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.