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Finding the Fourth Proportional to 367.61, 506.63 and 305.10

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Solution

The fourth proportional to 367.61, 506.63 and 305.10 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.61 : 506.63 = 305.10 : x
  2. Step 2: Convert to fraction form
    367.61/506.63 = 305.10/x
  3. Step 3: Cross multiply
    367.61x = 506.63 × 305.10
  4. Step 4: Simplify right side
    367.61x = 154,571.29
  5. Step 5: Solve for x
    x = 154,571.29/367.61
  6. Step 6: Final answer
    x = 420.48

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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.