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Finding the Fourth Proportional to 552.42, 762.39 and 319.50

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Solution

The fourth proportional to 552.42, 762.39 and 319.50 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 762.39 = 319.50 : x
  2. Step 2: Convert to fraction form
    552.42/762.39 = 319.50/x
  3. Step 3: Cross multiply
    552.42x = 762.39 × 319.50
  4. Step 4: Simplify right side
    552.42x = 243,583.61
  5. Step 5: Solve for x
    x = 243,583.61/552.42
  6. Step 6: Final answer
    x = 440.94

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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.