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Finding the Fourth Proportional to 630.26, 943.40 and 398.34

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Solution

The fourth proportional to 630.26, 943.40 and 398.34 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.26 : 943.40 = 398.34 : x
  2. Step 2: Convert to fraction form
    630.26/943.40 = 398.34/x
  3. Step 3: Cross multiply
    630.26x = 943.40 × 398.34
  4. Step 4: Simplify right side
    630.26x = 375,794.95
  5. Step 5: Solve for x
    x = 375,794.95/630.26
  6. Step 6: Final answer
    x = 596.26

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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.