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Finding the Fourth Proportional to 364.27, 501.90 and 301.90

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Solution

The fourth proportional to 364.27, 501.90 and 301.90 is: 415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.27 : 501.90 = 301.90 : x
  2. Step 2: Convert to fraction form
    364.27/501.90 = 301.90/x
  3. Step 3: Cross multiply
    364.27x = 501.90 × 301.90
  4. Step 4: Simplify right side
    364.27x = 151,523.61
  5. Step 5: Solve for x
    x = 151,523.61/364.27
  6. Step 6: Final answer
    x = 415.97

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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.