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Finding the Fourth Proportional to 423.50, 584.44 and 268.46

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Solution

The fourth proportional to 423.50, 584.44 and 268.46 is: 370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.50 : 584.44 = 268.46 : x
  2. Step 2: Convert to fraction form
    423.50/584.44 = 268.46/x
  3. Step 3: Cross multiply
    423.50x = 584.44 × 268.46
  4. Step 4: Simplify right side
    423.50x = 156,898.76
  5. Step 5: Solve for x
    x = 156,898.76/423.50
  6. Step 6: Final answer
    x = 370.48

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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.