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Finding the Fourth Proportional to 466.27, 643.73 and 291.85

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Solution

The fourth proportional to 466.27, 643.73 and 291.85 is: 402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.27 : 643.73 = 291.85 : x
  2. Step 2: Convert to fraction form
    466.27/643.73 = 291.85/x
  3. Step 3: Cross multiply
    466.27x = 643.73 × 291.85
  4. Step 4: Simplify right side
    466.27x = 187,872.60
  5. Step 5: Solve for x
    x = 187,872.60/466.27
  6. Step 6: Final answer
    x = 402.93

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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.