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Finding the Fourth Proportional to 423.35, 584.31 and 248.75

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Solution

The fourth proportional to 423.35, 584.31 and 248.75 is: 343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 584.31 = 248.75 : x
  2. Step 2: Convert to fraction form
    423.35/584.31 = 248.75/x
  3. Step 3: Cross multiply
    423.35x = 584.31 × 248.75
  4. Step 4: Simplify right side
    423.35x = 145,344.19
  5. Step 5: Solve for x
    x = 145,344.19/423.35
  6. Step 6: Final answer
    x = 343.32

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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.