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Finding the Fourth Proportional to 463.01, 638.95 and 266.53

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Solution

The fourth proportional to 463.01, 638.95 and 266.53 is: 367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.01 : 638.95 = 266.53 : x
  2. Step 2: Convert to fraction form
    463.01/638.95 = 266.53/x
  3. Step 3: Cross multiply
    463.01x = 638.95 × 266.53
  4. Step 4: Simplify right side
    463.01x = 170,299.34
  5. Step 5: Solve for x
    x = 170,299.34/463.01
  6. Step 6: Final answer
    x = 367.81

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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.