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Finding the Fourth Proportional to 367.49, 551.10 and 310.12

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Solution

The fourth proportional to 367.49, 551.10 and 310.12 is: 465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.49 : 551.10 = 310.12 : x
  2. Step 2: Convert to fraction form
    367.49/551.10 = 310.12/x
  3. Step 3: Cross multiply
    367.49x = 551.10 × 310.12
  4. Step 4: Simplify right side
    367.49x = 170,907.13
  5. Step 5: Solve for x
    x = 170,907.13/367.49
  6. Step 6: Final answer
    x = 465.07

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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.