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Finding the Fourth Proportional to 606.69, 906.35 and 396.77

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Solution

The fourth proportional to 606.69, 906.35 and 396.77 is: 592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.69 : 906.35 = 396.77 : x
  2. Step 2: Convert to fraction form
    606.69/906.35 = 396.77/x
  3. Step 3: Cross multiply
    606.69x = 906.35 × 396.77
  4. Step 4: Simplify right side
    606.69x = 359,605.97
  5. Step 5: Solve for x
    x = 359,605.97/606.69
  6. Step 6: Final answer
    x = 592.73

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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.