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Finding the Fourth Proportional to 604.97, 906.29 and 398.91

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Solution

The fourth proportional to 604.97, 906.29 and 398.91 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 906.29 = 398.91 : x
  2. Step 2: Convert to fraction form
    604.97/906.29 = 398.91/x
  3. Step 3: Cross multiply
    604.97x = 906.29 × 398.91
  4. Step 4: Simplify right side
    604.97x = 361,528.14
  5. Step 5: Solve for x
    x = 361,528.14/604.97
  6. Step 6: Final answer
    x = 597.60

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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.