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Finding the Fourth Proportional to 423.68, 584.52 and 268.40

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Solution

The fourth proportional to 423.68, 584.52 and 268.40 is: 370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 584.52 = 268.40 : x
  2. Step 2: Convert to fraction form
    423.68/584.52 = 268.40/x
  3. Step 3: Cross multiply
    423.68x = 584.52 × 268.40
  4. Step 4: Simplify right side
    423.68x = 156,885.17
  5. Step 5: Solve for x
    x = 156,885.17/423.68
  6. Step 6: Final answer
    x = 370.29

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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.