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Finding the Fourth Proportional to 645.85, 967.41 and 401.18

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Solution

The fourth proportional to 645.85, 967.41 and 401.18 is: 600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.85 : 967.41 = 401.18 : x
  2. Step 2: Convert to fraction form
    645.85/967.41 = 401.18/x
  3. Step 3: Cross multiply
    645.85x = 967.41 × 401.18
  4. Step 4: Simplify right side
    645.85x = 388,101.74
  5. Step 5: Solve for x
    x = 388,101.74/645.85
  6. Step 6: Final answer
    x = 600.92

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