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Finding the Fourth Proportional to 449.32, 668.28 and 440.10

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Solution

The fourth proportional to 449.32, 668.28 and 440.10 is: 654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 668.28 = 440.10 : x
  2. Step 2: Convert to fraction form
    449.32/668.28 = 440.10/x
  3. Step 3: Cross multiply
    449.32x = 668.28 × 440.10
  4. Step 4: Simplify right side
    449.32x = 294,107.83
  5. Step 5: Solve for x
    x = 294,107.83/449.32
  6. Step 6: Final answer
    x = 654.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.