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Finding the Fourth Proportional to 538.38, 808.25 and 448.18

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Solution

The fourth proportional to 538.38, 808.25 and 448.18 is: 672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.38 : 808.25 = 448.18 : x
  2. Step 2: Convert to fraction form
    538.38/808.25 = 448.18/x
  3. Step 3: Cross multiply
    538.38x = 808.25 × 448.18
  4. Step 4: Simplify right side
    538.38x = 362,241.49
  5. Step 5: Solve for x
    x = 362,241.49/538.38
  6. Step 6: Final answer
    x = 672.84

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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.