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Finding the Fourth Proportional to 370.27, 509.69 and 331.70

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Solution

The fourth proportional to 370.27, 509.69 and 331.70 is: 456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 509.69 = 331.70 : x
  2. Step 2: Convert to fraction form
    370.27/509.69 = 331.70/x
  3. Step 3: Cross multiply
    370.27x = 509.69 × 331.70
  4. Step 4: Simplify right side
    370.27x = 169,062.45
  5. Step 5: Solve for x
    x = 169,062.45/370.27
  6. Step 6: Final answer
    x = 456.59

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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.