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Finding the Fourth Proportional to 367.16, 547.66 and 337.31

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Solution

The fourth proportional to 367.16, 547.66 and 337.31 is: 503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 547.66 = 337.31 : x
  2. Step 2: Convert to fraction form
    367.16/547.66 = 337.31/x
  3. Step 3: Cross multiply
    367.16x = 547.66 × 337.31
  4. Step 4: Simplify right side
    367.16x = 184,733.41
  5. Step 5: Solve for x
    x = 184,733.41/367.16
  6. Step 6: Final answer
    x = 503.14

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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.