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Finding the Fourth Proportional to 644.58, 966.18 and 412.74

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Solution

The fourth proportional to 644.58, 966.18 and 412.74 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.58 : 966.18 = 412.74 : x
  2. Step 2: Convert to fraction form
    644.58/966.18 = 412.74/x
  3. Step 3: Cross multiply
    644.58x = 966.18 × 412.74
  4. Step 4: Simplify right side
    644.58x = 398,781.13
  5. Step 5: Solve for x
    x = 398,781.13/644.58
  6. Step 6: Final answer
    x = 618.67

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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.