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Finding the Fourth Proportional to 462.88, 638.77 and 266.39

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Solution

The fourth proportional to 462.88, 638.77 and 266.39 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 638.77 = 266.39 : x
  2. Step 2: Convert to fraction form
    462.88/638.77 = 266.39/x
  3. Step 3: Cross multiply
    462.88x = 638.77 × 266.39
  4. Step 4: Simplify right side
    462.88x = 170,158.75
  5. Step 5: Solve for x
    x = 170,158.75/462.88
  6. Step 6: Final answer
    x = 367.61

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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.