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Finding the Fourth Proportional to 404.88, 604.14 and 390.96

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Solution

The fourth proportional to 404.88, 604.14 and 390.96 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.88 : 604.14 = 390.96 : x
  2. Step 2: Convert to fraction form
    404.88/604.14 = 390.96/x
  3. Step 3: Cross multiply
    404.88x = 604.14 × 390.96
  4. Step 4: Simplify right side
    404.88x = 236,194.57
  5. Step 5: Solve for x
    x = 236,194.57/404.88
  6. Step 6: Final answer
    x = 583.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.