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Finding the Fourth Proportional to 552.53, 762.41 and 303.86

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Solution

The fourth proportional to 552.53, 762.41 and 303.86 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.53 : 762.41 = 303.86 : x
  2. Step 2: Convert to fraction form
    552.53/762.41 = 303.86/x
  3. Step 3: Cross multiply
    552.53x = 762.41 × 303.86
  4. Step 4: Simplify right side
    552.53x = 231,668.57
  5. Step 5: Solve for x
    x = 231,668.57/552.53
  6. Step 6: Final answer
    x = 419.28

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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.