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Finding the Fourth Proportional to 423.26, 583.96 and 248.57

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Solution

The fourth proportional to 423.26, 583.96 and 248.57 is: 342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.26 : 583.96 = 248.57 : x
  2. Step 2: Convert to fraction form
    423.26/583.96 = 248.57/x
  3. Step 3: Cross multiply
    423.26x = 583.96 × 248.57
  4. Step 4: Simplify right side
    423.26x = 145,154.94
  5. Step 5: Solve for x
    x = 145,154.94/423.26
  6. Step 6: Final answer
    x = 342.95

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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.