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Finding the Fourth Proportional to 575.46, 863.52 and 301.80

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Solution

The fourth proportional to 575.46, 863.52 and 301.80 is: 452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 863.52 = 301.80 : x
  2. Step 2: Convert to fraction form
    575.46/863.52 = 301.80/x
  3. Step 3: Cross multiply
    575.46x = 863.52 × 301.80
  4. Step 4: Simplify right side
    575.46x = 260,610.34
  5. Step 5: Solve for x
    x = 260,610.34/575.46
  6. Step 6: Final answer
    x = 452.87

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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.