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Finding the Fourth Proportional to 549.80, 825.24 and 448.32

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Solution

The fourth proportional to 549.80, 825.24 and 448.32 is: 672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 825.24 = 448.32 : x
  2. Step 2: Convert to fraction form
    549.80/825.24 = 448.32/x
  3. Step 3: Cross multiply
    549.80x = 825.24 × 448.32
  4. Step 4: Simplify right side
    549.80x = 369,969.21
  5. Step 5: Solve for x
    x = 369,969.21/549.80
  6. Step 6: Final answer
    x = 672.91

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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.