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Finding the Fourth Proportional to 398.77, 550.83 and 306.66

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Solution

The fourth proportional to 398.77, 550.83 and 306.66 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.77 : 550.83 = 306.66 : x
  2. Step 2: Convert to fraction form
    398.77/550.83 = 306.66/x
  3. Step 3: Cross multiply
    398.77x = 550.83 × 306.66
  4. Step 4: Simplify right side
    398.77x = 168,915.92
  5. Step 5: Solve for x
    x = 168,915.92/398.77
  6. Step 6: Final answer
    x = 423.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.