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Finding the Fourth Proportional to 367.90, 551.84 and 306.83

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Solution

The fourth proportional to 367.90, 551.84 and 306.83 is: 460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.90 : 551.84 = 306.83 : x
  2. Step 2: Convert to fraction form
    367.90/551.84 = 306.83/x
  3. Step 3: Cross multiply
    367.90x = 551.84 × 306.83
  4. Step 4: Simplify right side
    367.90x = 169,320.91
  5. Step 5: Solve for x
    x = 169,320.91/367.90
  6. Step 6: Final answer
    x = 460.24

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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.