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Finding the Fourth Proportional to 326.26, 486.77 and 310.78

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Solution

The fourth proportional to 326.26, 486.77 and 310.78 is: 463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.26 : 486.77 = 310.78 : x
  2. Step 2: Convert to fraction form
    326.26/486.77 = 310.78/x
  3. Step 3: Cross multiply
    326.26x = 486.77 × 310.78
  4. Step 4: Simplify right side
    326.26x = 151,278.38
  5. Step 5: Solve for x
    x = 151,278.38/326.26
  6. Step 6: Final answer
    x = 463.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.