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Finding the Fourth Proportional to 552.30, 762.20 and 319.38

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Solution

The fourth proportional to 552.30, 762.20 and 319.38 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.30 : 762.20 = 319.38 : x
  2. Step 2: Convert to fraction form
    552.30/762.20 = 319.38/x
  3. Step 3: Cross multiply
    552.30x = 762.20 × 319.38
  4. Step 4: Simplify right side
    552.30x = 243,431.44
  5. Step 5: Solve for x
    x = 243,431.44/552.30
  6. Step 6: Final answer
    x = 440.76

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1.5x scale

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.