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Finding the Fourth Proportional to 552.70, 762.60 and 319.69

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Solution

The fourth proportional to 552.70, 762.60 and 319.69 is: 441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 762.60 = 319.69 : x
  2. Step 2: Convert to fraction form
    552.70/762.60 = 319.69/x
  3. Step 3: Cross multiply
    552.70x = 762.60 × 319.69
  4. Step 4: Simplify right side
    552.70x = 243,795.59
  5. Step 5: Solve for x
    x = 243,795.59/552.70
  6. Step 6: Final answer
    x = 441.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.