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Finding the Fourth Proportional to 462.92, 638.98 and 266.57

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Solution

The fourth proportional to 462.92, 638.98 and 266.57 is: 367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 638.98 = 266.57 : x
  2. Step 2: Convert to fraction form
    462.92/638.98 = 266.57/x
  3. Step 3: Cross multiply
    462.92x = 638.98 × 266.57
  4. Step 4: Simplify right side
    462.92x = 170,328.37
  5. Step 5: Solve for x
    x = 170,328.37/462.92
  6. Step 6: Final answer
    x = 367.94

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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.