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Finding the Fourth Proportional to 498.30, 749.07 and 447.18

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Solution

The fourth proportional to 498.30, 749.07 and 447.18 is: 672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 749.07 = 447.18 : x
  2. Step 2: Convert to fraction form
    498.30/749.07 = 447.18/x
  3. Step 3: Cross multiply
    498.30x = 749.07 × 447.18
  4. Step 4: Simplify right side
    498.30x = 334,969.12
  5. Step 5: Solve for x
    x = 334,969.12/498.30
  6. Step 6: Final answer
    x = 672.22

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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.