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Finding the Fourth Proportional to 367.48, 506.06 and 314.82

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Solution

The fourth proportional to 367.48, 506.06 and 314.82 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.48 : 506.06 = 314.82 : x
  2. Step 2: Convert to fraction form
    367.48/506.06 = 314.82/x
  3. Step 3: Cross multiply
    367.48x = 506.06 × 314.82
  4. Step 4: Simplify right side
    367.48x = 159,317.81
  5. Step 5: Solve for x
    x = 159,317.81/367.48
  6. Step 6: Final answer
    x = 433.54

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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.