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Finding the Fourth Proportional to 367.58, 548.34 and 341.38

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Solution

The fourth proportional to 367.58, 548.34 and 341.38 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.58 : 548.34 = 341.38 : x
  2. Step 2: Convert to fraction form
    367.58/548.34 = 341.38/x
  3. Step 3: Cross multiply
    367.58x = 548.34 × 341.38
  4. Step 4: Simplify right side
    367.58x = 187,192.31
  5. Step 5: Solve for x
    x = 187,192.31/367.58
  6. Step 6: Final answer
    x = 509.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.