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Finding the Fourth Proportional to 325.53, 487.35 and 310.41

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Solution

The fourth proportional to 325.53, 487.35 and 310.41 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.53 : 487.35 = 310.41 : x
  2. Step 2: Convert to fraction form
    325.53/487.35 = 310.41/x
  3. Step 3: Cross multiply
    325.53x = 487.35 × 310.41
  4. Step 4: Simplify right side
    325.53x = 151,278.31
  5. Step 5: Solve for x
    x = 151,278.31/325.53
  6. Step 6: Final answer
    x = 464.71

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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.