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Finding the Fourth Proportional to 408.07, 563.25 and 258.72

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Solution

The fourth proportional to 408.07, 563.25 and 258.72 is: 357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.07 : 563.25 = 258.72 : x
  2. Step 2: Convert to fraction form
    408.07/563.25 = 258.72/x
  3. Step 3: Cross multiply
    408.07x = 563.25 × 258.72
  4. Step 4: Simplify right side
    408.07x = 145,724.53
  5. Step 5: Solve for x
    x = 145,724.53/408.07
  6. Step 6: Final answer
    x = 357.11

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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.