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Finding the Fourth Proportional to 462.84, 638.66 and 266.28

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Solution

The fourth proportional to 462.84, 638.66 and 266.28 is: 367.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.66 = 266.28 : x
  2. Step 2: Convert to fraction form
    462.84/638.66 = 266.28/x
  3. Step 3: Cross multiply
    462.84x = 638.66 × 266.28
  4. Step 4: Simplify right side
    462.84x = 170,061.05
  5. Step 5: Solve for x
    x = 170,061.05/462.84
  6. Step 6: Final answer
    x = 367.43

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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.