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Finding the Fourth Proportional to 550.86, 760.22 and 364.22

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Solution

The fourth proportional to 550.86, 760.22 and 364.22 is: 502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 760.22 = 364.22 : x
  2. Step 2: Convert to fraction form
    550.86/760.22 = 364.22/x
  3. Step 3: Cross multiply
    550.86x = 760.22 × 364.22
  4. Step 4: Simplify right side
    550.86x = 276,887.33
  5. Step 5: Solve for x
    x = 276,887.33/550.86
  6. Step 6: Final answer
    x = 502.65

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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.