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Finding the Fourth Proportional to 423.36, 584.16 and 268.08

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Solution

The fourth proportional to 423.36, 584.16 and 268.08 is: 369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 584.16 = 268.08 : x
  2. Step 2: Convert to fraction form
    423.36/584.16 = 268.08/x
  3. Step 3: Cross multiply
    423.36x = 584.16 × 268.08
  4. Step 4: Simplify right side
    423.36x = 156,601.61
  5. Step 5: Solve for x
    x = 156,601.61/423.36
  6. Step 6: Final answer
    x = 369.90

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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.