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Finding the Fourth Proportional to 552.47, 762.41 and 303.80

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Solution

The fourth proportional to 552.47, 762.41 and 303.80 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 762.41 = 303.80 : x
  2. Step 2: Convert to fraction form
    552.47/762.41 = 303.80/x
  3. Step 3: Cross multiply
    552.47x = 762.41 × 303.80
  4. Step 4: Simplify right side
    552.47x = 231,614.83
  5. Step 5: Solve for x
    x = 231,614.83/552.47
  6. Step 6: Final answer
    x = 419.24

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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.