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Finding the Fourth Proportional to 466.32, 644.10 and 341.79

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Solution

The fourth proportional to 466.32, 644.10 and 341.79 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 644.10 = 341.79 : x
  2. Step 2: Convert to fraction form
    466.32/644.10 = 341.79/x
  3. Step 3: Cross multiply
    466.32x = 644.10 × 341.79
  4. Step 4: Simplify right side
    466.32x = 220,146.94
  5. Step 5: Solve for x
    x = 220,146.94/466.32
  6. Step 6: Final answer
    x = 472.09

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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.