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Finding the Fourth Proportional to 423.18, 584.08 and 248.54

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Solution

The fourth proportional to 423.18, 584.08 and 248.54 is: 343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 584.08 = 248.54 : x
  2. Step 2: Convert to fraction form
    423.18/584.08 = 248.54/x
  3. Step 3: Cross multiply
    423.18x = 584.08 × 248.54
  4. Step 4: Simplify right side
    423.18x = 145,167.24
  5. Step 5: Solve for x
    x = 145,167.24/423.18
  6. Step 6: Final answer
    x = 343.04

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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.