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Finding the Fourth Proportional to 630.28, 943.44 and 398.82

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Solution

The fourth proportional to 630.28, 943.44 and 398.82 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.28 : 943.44 = 398.82 : x
  2. Step 2: Convert to fraction form
    630.28/943.44 = 398.82/x
  3. Step 3: Cross multiply
    630.28x = 943.44 × 398.82
  4. Step 4: Simplify right side
    630.28x = 376,262.74
  5. Step 5: Solve for x
    x = 376,262.74/630.28
  6. Step 6: Final answer
    x = 596.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.