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Finding the Fourth Proportional to 367.38, 551.88 and 286.38

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Solution

The fourth proportional to 367.38, 551.88 and 286.38 is: 430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 551.88 = 286.38 : x
  2. Step 2: Convert to fraction form
    367.38/551.88 = 286.38/x
  3. Step 3: Cross multiply
    367.38x = 551.88 × 286.38
  4. Step 4: Simplify right side
    367.38x = 158,047.39
  5. Step 5: Solve for x
    x = 158,047.39/367.38
  6. Step 6: Final answer
    x = 430.20

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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.