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Finding the Fourth Proportional to 463.06, 639.08 and 266.59

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Solution

The fourth proportional to 463.06, 639.08 and 266.59 is: 367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.06 : 639.08 = 266.59 : x
  2. Step 2: Convert to fraction form
    463.06/639.08 = 266.59/x
  3. Step 3: Cross multiply
    463.06x = 639.08 × 266.59
  4. Step 4: Simplify right side
    463.06x = 170,372.34
  5. Step 5: Solve for x
    x = 170,372.34/463.06
  6. Step 6: Final answer
    x = 367.93

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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.