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Finding the Fourth Proportional to 575.68, 863.77 and 301.70

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Solution

The fourth proportional to 575.68, 863.77 and 301.70 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.68 : 863.77 = 301.70 : x
  2. Step 2: Convert to fraction form
    575.68/863.77 = 301.70/x
  3. Step 3: Cross multiply
    575.68x = 863.77 × 301.70
  4. Step 4: Simplify right side
    575.68x = 260,601.95
  5. Step 5: Solve for x
    x = 260,601.95/575.68
  6. Step 6: Final answer
    x = 452.69

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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.