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Finding the Fourth Proportional to 671.15, 925.52 and 409.01

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Solution

The fourth proportional to 671.15, 925.52 and 409.01 is: 564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.15 : 925.52 = 409.01 : x
  2. Step 2: Convert to fraction form
    671.15/925.52 = 409.01/x
  3. Step 3: Cross multiply
    671.15x = 925.52 × 409.01
  4. Step 4: Simplify right side
    671.15x = 378,540.26
  5. Step 5: Solve for x
    x = 378,540.26/671.15
  6. Step 6: Final answer
    x = 564.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.