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Finding the Fourth Proportional to 575.36, 863.10 and 381.62

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Solution

The fourth proportional to 575.36, 863.10 and 381.62 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.36 : 863.10 = 381.62 : x
  2. Step 2: Convert to fraction form
    575.36/863.10 = 381.62/x
  3. Step 3: Cross multiply
    575.36x = 863.10 × 381.62
  4. Step 4: Simplify right side
    575.36x = 329,376.22
  5. Step 5: Solve for x
    x = 329,376.22/575.36
  6. Step 6: Final answer
    x = 572.47

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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.