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Finding the Fourth Proportional to 367.14, 505.80 and 256.42

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Solution

The fourth proportional to 367.14, 505.80 and 256.42 is: 353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 505.80 = 256.42 : x
  2. Step 2: Convert to fraction form
    367.14/505.80 = 256.42/x
  3. Step 3: Cross multiply
    367.14x = 505.80 × 256.42
  4. Step 4: Simplify right side
    367.14x = 129,697.24
  5. Step 5: Solve for x
    x = 129,697.24/367.14
  6. Step 6: Final answer
    x = 353.26

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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.