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Finding the Fourth Proportional to 492.21, 678.65 and 398.61

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Solution

The fourth proportional to 492.21, 678.65 and 398.61 is: 549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 678.65 = 398.61 : x
  2. Step 2: Convert to fraction form
    492.21/678.65 = 398.61/x
  3. Step 3: Cross multiply
    492.21x = 678.65 × 398.61
  4. Step 4: Simplify right side
    492.21x = 270,514.68
  5. Step 5: Solve for x
    x = 270,514.68/492.21
  6. Step 6: Final answer
    x = 549.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.