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Finding the Fourth Proportional to 367.98, 508.47 and 318.78

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Solution

The fourth proportional to 367.98, 508.47 and 318.78 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 508.47 = 318.78 : x
  2. Step 2: Convert to fraction form
    367.98/508.47 = 318.78/x
  3. Step 3: Cross multiply
    367.98x = 508.47 × 318.78
  4. Step 4: Simplify right side
    367.98x = 162,090.07
  5. Step 5: Solve for x
    x = 162,090.07/367.98
  6. Step 6: Final answer
    x = 440.49

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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.