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Finding the Fourth Proportional to 552.40, 762.32 and 303.71

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Solution

The fourth proportional to 552.40, 762.32 and 303.71 is: 419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 762.32 = 303.71 : x
  2. Step 2: Convert to fraction form
    552.40/762.32 = 303.71/x
  3. Step 3: Cross multiply
    552.40x = 762.32 × 303.71
  4. Step 4: Simplify right side
    552.40x = 231,524.59
  5. Step 5: Solve for x
    x = 231,524.59/552.40
  6. Step 6: Final answer
    x = 419.13

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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.