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Finding the Fourth Proportional to 575.48, 863.52 and 228.74

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Solution

The fourth proportional to 575.48, 863.52 and 228.74 is: 343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.48 : 863.52 = 228.74 : x
  2. Step 2: Convert to fraction form
    575.48/863.52 = 228.74/x
  3. Step 3: Cross multiply
    575.48x = 863.52 × 228.74
  4. Step 4: Simplify right side
    575.48x = 197,521.56
  5. Step 5: Solve for x
    x = 197,521.56/575.48
  6. Step 6: Final answer
    x = 343.23

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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.