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Finding the Fourth Proportional to 416.87, 575.43 and 311.78

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Solution

The fourth proportional to 416.87, 575.43 and 311.78 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 575.43 = 311.78 : x
  2. Step 2: Convert to fraction form
    416.87/575.43 = 311.78/x
  3. Step 3: Cross multiply
    416.87x = 575.43 × 311.78
  4. Step 4: Simplify right side
    416.87x = 179,407.57
  5. Step 5: Solve for x
    x = 179,407.57/416.87
  6. Step 6: Final answer
    x = 430.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.