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Finding the Fourth Proportional to 463.02, 638.82 and 266.48

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Solution

The fourth proportional to 463.02, 638.82 and 266.48 is: 367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.82 = 266.48 : x
  2. Step 2: Convert to fraction form
    463.02/638.82 = 266.48/x
  3. Step 3: Cross multiply
    463.02x = 638.82 × 266.48
  4. Step 4: Simplify right side
    463.02x = 170,232.75
  5. Step 5: Solve for x
    x = 170,232.75/463.02
  6. Step 6: Final answer
    x = 367.66

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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.