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Finding the Fourth Proportional to 466.04, 698.85 and 271.23

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Solution

The fourth proportional to 466.04, 698.85 and 271.23 is: 406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 698.85 = 271.23 : x
  2. Step 2: Convert to fraction form
    466.04/698.85 = 271.23/x
  3. Step 3: Cross multiply
    466.04x = 698.85 × 271.23
  4. Step 4: Simplify right side
    466.04x = 189,549.09
  5. Step 5: Solve for x
    x = 189,549.09/466.04
  6. Step 6: Final answer
    x = 406.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.