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Finding the Fourth Proportional to 552.48, 762.24 and 319.44

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Solution

The fourth proportional to 552.48, 762.24 and 319.44 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.48 : 762.24 = 319.44 : x
  2. Step 2: Convert to fraction form
    552.48/762.24 = 319.44/x
  3. Step 3: Cross multiply
    552.48x = 762.24 × 319.44
  4. Step 4: Simplify right side
    552.48x = 243,489.95
  5. Step 5: Solve for x
    x = 243,489.95/552.48
  6. Step 6: Final answer
    x = 440.72

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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.