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Finding the Fourth Proportional to 466.96, 644.40 and 257.14

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Solution

The fourth proportional to 466.96, 644.40 and 257.14 is: 354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.96 : 644.40 = 257.14 : x
  2. Step 2: Convert to fraction form
    466.96/644.40 = 257.14/x
  3. Step 3: Cross multiply
    466.96x = 644.40 × 257.14
  4. Step 4: Simplify right side
    466.96x = 165,701.02
  5. Step 5: Solve for x
    x = 165,701.02/466.96
  6. Step 6: Final answer
    x = 354.85

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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.