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Finding the Fourth Proportional to 402.44, 606.76 and 397.26

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Solution

The fourth proportional to 402.44, 606.76 and 397.26 is: 598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.44 : 606.76 = 397.26 : x
  2. Step 2: Convert to fraction form
    402.44/606.76 = 397.26/x
  3. Step 3: Cross multiply
    402.44x = 606.76 × 397.26
  4. Step 4: Simplify right side
    402.44x = 241,041.48
  5. Step 5: Solve for x
    x = 241,041.48/402.44
  6. Step 6: Final answer
    x = 598.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.