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Finding the Fourth Proportional to 575.73, 864 and 251.19

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Solution

The fourth proportional to 575.73, 864 and 251.19 is: 376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.73 : 864 = 251.19 : x
  2. Step 2: Convert to fraction form
    575.73/864 = 251.19/x
  3. Step 3: Cross multiply
    575.73x = 864 × 251.19
  4. Step 4: Simplify right side
    575.73x = 217,028.16
  5. Step 5: Solve for x
    x = 217,028.16/575.73
  6. Step 6: Final answer
    x = 376.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.