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Finding the Fourth Proportional to 466.89, 644.34 and 257.10

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Solution

The fourth proportional to 466.89, 644.34 and 257.10 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.89 : 644.34 = 257.10 : x
  2. Step 2: Convert to fraction form
    466.89/644.34 = 257.10/x
  3. Step 3: Cross multiply
    466.89x = 644.34 × 257.10
  4. Step 4: Simplify right side
    466.89x = 165,659.81
  5. Step 5: Solve for x
    x = 165,659.81/466.89
  6. Step 6: Final answer
    x = 354.82

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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.