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Finding the Fourth Proportional to 310.22, 464.90 and 277.52

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Solution

The fourth proportional to 310.22, 464.90 and 277.52 is: 415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.22 : 464.90 = 277.52 : x
  2. Step 2: Convert to fraction form
    310.22/464.90 = 277.52/x
  3. Step 3: Cross multiply
    310.22x = 464.90 × 277.52
  4. Step 4: Simplify right side
    310.22x = 129,019.05
  5. Step 5: Solve for x
    x = 129,019.05/310.22
  6. Step 6: Final answer
    x = 415.90

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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.