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Finding the Fourth Proportional to 423.40, 584.14 and 248.68

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Solution

The fourth proportional to 423.40, 584.14 and 248.68 is: 343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 584.14 = 248.68 : x
  2. Step 2: Convert to fraction form
    423.40/584.14 = 248.68/x
  3. Step 3: Cross multiply
    423.40x = 584.14 × 248.68
  4. Step 4: Simplify right side
    423.40x = 145,263.94
  5. Step 5: Solve for x
    x = 145,263.94/423.40
  6. Step 6: Final answer
    x = 343.09

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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.