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Finding the Fourth Proportional to 644.07, 966.14 and 319.35

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Solution

The fourth proportional to 644.07, 966.14 and 319.35 is: 479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.07 : 966.14 = 319.35 : x
  2. Step 2: Convert to fraction form
    644.07/966.14 = 319.35/x
  3. Step 3: Cross multiply
    644.07x = 966.14 × 319.35
  4. Step 4: Simplify right side
    644.07x = 308,531.98
  5. Step 5: Solve for x
    x = 308,531.98/644.07
  6. Step 6: Final answer
    x = 479.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.