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Finding the Fourth Proportional to 449.20, 619.68 and 291.82

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Solution

The fourth proportional to 449.20, 619.68 and 291.82 is: 402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.20 : 619.68 = 291.82 : x
  2. Step 2: Convert to fraction form
    449.20/619.68 = 291.82/x
  3. Step 3: Cross multiply
    449.20x = 619.68 × 291.82
  4. Step 4: Simplify right side
    449.20x = 180,831.92
  5. Step 5: Solve for x
    x = 180,831.92/449.20
  6. Step 6: Final answer
    x = 402.57

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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.