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Finding the Fourth Proportional to 463.36, 639.32 and 266.86

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Solution

The fourth proportional to 463.36, 639.32 and 266.86 is: 368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 639.32 = 266.86 : x
  2. Step 2: Convert to fraction form
    463.36/639.32 = 266.86/x
  3. Step 3: Cross multiply
    463.36x = 639.32 × 266.86
  4. Step 4: Simplify right side
    463.36x = 170,608.94
  5. Step 5: Solve for x
    x = 170,608.94/463.36
  6. Step 6: Final answer
    x = 368.20

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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.