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Finding the Fourth Proportional to 370.60, 512.12 and 337.64

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Solution

The fourth proportional to 370.60, 512.12 and 337.64 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.60 : 512.12 = 337.64 : x
  2. Step 2: Convert to fraction form
    370.60/512.12 = 337.64/x
  3. Step 3: Cross multiply
    370.60x = 512.12 × 337.64
  4. Step 4: Simplify right side
    370.60x = 172,912.20
  5. Step 5: Solve for x
    x = 172,912.20/370.60
  6. Step 6: Final answer
    x = 466.57

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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.