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Finding the Fourth Proportional to 412.18, 619.69 and 326.57

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Solution

The fourth proportional to 412.18, 619.69 and 326.57 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 619.69 = 326.57 : x
  2. Step 2: Convert to fraction form
    412.18/619.69 = 326.57/x
  3. Step 3: Cross multiply
    412.18x = 619.69 × 326.57
  4. Step 4: Simplify right side
    412.18x = 202,372.16
  5. Step 5: Solve for x
    x = 202,372.16/412.18
  6. Step 6: Final answer
    x = 490.98

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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.