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Finding the Fourth Proportional to 575.34, 863.25 and 301.61

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Solution

The fourth proportional to 575.34, 863.25 and 301.61 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.34 : 863.25 = 301.61 : x
  2. Step 2: Convert to fraction form
    575.34/863.25 = 301.61/x
  3. Step 3: Cross multiply
    575.34x = 863.25 × 301.61
  4. Step 4: Simplify right side
    575.34x = 260,364.08
  5. Step 5: Solve for x
    x = 260,364.08/575.34
  6. Step 6: Final answer
    x = 452.54

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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.