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Finding the Fourth Proportional to 497.40, 744.96 and 449.28

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Solution

The fourth proportional to 497.40, 744.96 and 449.28 is: 672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 744.96 = 449.28 : x
  2. Step 2: Convert to fraction form
    497.40/744.96 = 449.28/x
  3. Step 3: Cross multiply
    497.40x = 744.96 × 449.28
  4. Step 4: Simplify right side
    497.40x = 334,695.63
  5. Step 5: Solve for x
    x = 334,695.63/497.40
  6. Step 6: Final answer
    x = 672.89

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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.