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Finding the Fourth Proportional to 575.84, 863.69 and 229.26

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Solution

The fourth proportional to 575.84, 863.69 and 229.26 is: 343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.84 : 863.69 = 229.26 : x
  2. Step 2: Convert to fraction form
    575.84/863.69 = 229.26/x
  3. Step 3: Cross multiply
    575.84x = 863.69 × 229.26
  4. Step 4: Simplify right side
    575.84x = 198,008.42
  5. Step 5: Solve for x
    x = 198,008.42/575.84
  6. Step 6: Final answer
    x = 343.86

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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.