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Finding the Fourth Proportional to 575.91, 863.22 and 263.34

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Solution

The fourth proportional to 575.91, 863.22 and 263.34 is: 394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.91 : 863.22 = 263.34 : x
  2. Step 2: Convert to fraction form
    575.91/863.22 = 263.34/x
  3. Step 3: Cross multiply
    575.91x = 863.22 × 263.34
  4. Step 4: Simplify right side
    575.91x = 227,320.35
  5. Step 5: Solve for x
    x = 227,320.35/575.91
  6. Step 6: Final answer
    x = 394.72

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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.