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Finding the Fourth Proportional to 462.95, 638.85 and 266.42

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Solution

The fourth proportional to 462.95, 638.85 and 266.42 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.95 : 638.85 = 266.42 : x
  2. Step 2: Convert to fraction form
    462.95/638.85 = 266.42/x
  3. Step 3: Cross multiply
    462.95x = 638.85 × 266.42
  4. Step 4: Simplify right side
    462.95x = 170,205.01
  5. Step 5: Solve for x
    x = 170,205.01/462.95
  6. Step 6: Final answer
    x = 367.65

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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.