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Finding the Fourth Proportional to 449.10, 619.74 and 324.90

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Solution

The fourth proportional to 449.10, 619.74 and 324.90 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.10 : 619.74 = 324.90 : x
  2. Step 2: Convert to fraction form
    449.10/619.74 = 324.90/x
  3. Step 3: Cross multiply
    449.10x = 619.74 × 324.90
  4. Step 4: Simplify right side
    449.10x = 201,353.53
  5. Step 5: Solve for x
    x = 201,353.53/449.10
  6. Step 6: Final answer
    x = 448.35

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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.