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Finding the Fourth Proportional to 466.79, 644.17 and 256.99

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Solution

The fourth proportional to 466.79, 644.17 and 256.99 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.79 : 644.17 = 256.99 : x
  2. Step 2: Convert to fraction form
    466.79/644.17 = 256.99/x
  3. Step 3: Cross multiply
    466.79x = 644.17 × 256.99
  4. Step 4: Simplify right side
    466.79x = 165,545.25
  5. Step 5: Solve for x
    x = 165,545.25/466.79
  6. Step 6: Final answer
    x = 354.65

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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.