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Finding the Fourth Proportional to 644.45, 966.35 and 315.41

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Solution

The fourth proportional to 644.45, 966.35 and 315.41 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.45 : 966.35 = 315.41 : x
  2. Step 2: Convert to fraction form
    644.45/966.35 = 315.41/x
  3. Step 3: Cross multiply
    644.45x = 966.35 × 315.41
  4. Step 4: Simplify right side
    644.45x = 304,796.07
  5. Step 5: Solve for x
    x = 304,796.07/644.45
  6. Step 6: Final answer
    x = 472.96

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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.