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Finding the Fourth Proportional to 550.78, 760.34 and 364.42

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Solution

The fourth proportional to 550.78, 760.34 and 364.42 is: 503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 760.34 = 364.42 : x
  2. Step 2: Convert to fraction form
    550.78/760.34 = 364.42/x
  3. Step 3: Cross multiply
    550.78x = 760.34 × 364.42
  4. Step 4: Simplify right side
    550.78x = 277,083.10
  5. Step 5: Solve for x
    x = 277,083.10/550.78
  6. Step 6: Final answer
    x = 503.07

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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.