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Finding the Fourth Proportional to 423.78, 584.73 and 268.50

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Solution

The fourth proportional to 423.78, 584.73 and 268.50 is: 370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.78 : 584.73 = 268.50 : x
  2. Step 2: Convert to fraction form
    423.78/584.73 = 268.50/x
  3. Step 3: Cross multiply
    423.78x = 584.73 × 268.50
  4. Step 4: Simplify right side
    423.78x = 157,000.01
  5. Step 5: Solve for x
    x = 157,000.01/423.78
  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.