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Finding the Fourth Proportional to 367.66, 506.36 and 341.23

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Solution

The fourth proportional to 367.66, 506.36 and 341.23 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 506.36 = 341.23 : x
  2. Step 2: Convert to fraction form
    367.66/506.36 = 341.23/x
  3. Step 3: Cross multiply
    367.66x = 506.36 × 341.23
  4. Step 4: Simplify right side
    367.66x = 172,784.81
  5. Step 5: Solve for x
    x = 172,784.81/367.66
  6. Step 6: Final answer
    x = 469.96

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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.