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Finding the Fourth Proportional to 462.85, 638.68 and 266.42

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Solution

The fourth proportional to 462.85, 638.68 and 266.42 is: 367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.85 : 638.68 = 266.42 : x
  2. Step 2: Convert to fraction form
    462.85/638.68 = 266.42/x
  3. Step 3: Cross multiply
    462.85x = 638.68 × 266.42
  4. Step 4: Simplify right side
    462.85x = 170,157.13
  5. Step 5: Solve for x
    x = 170,157.13/462.85
  6. Step 6: Final answer
    x = 367.63

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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.