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Finding the Fourth Proportional to 364.12, 506.05 and 360.28

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Solution

The fourth proportional to 364.12, 506.05 and 360.28 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.12 : 506.05 = 360.28 : x
  2. Step 2: Convert to fraction form
    364.12/506.05 = 360.28/x
  3. Step 3: Cross multiply
    364.12x = 506.05 × 360.28
  4. Step 4: Simplify right side
    364.12x = 182,319.69
  5. Step 5: Solve for x
    x = 182,319.69/364.12
  6. Step 6: Final answer
    x = 500.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.