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Finding the Fourth Proportional to 550.82, 760.23 and 376.13

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Solution

The fourth proportional to 550.82, 760.23 and 376.13 is: 519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.82 : 760.23 = 376.13 : x
  2. Step 2: Convert to fraction form
    550.82/760.23 = 376.13/x
  3. Step 3: Cross multiply
    550.82x = 760.23 × 376.13
  4. Step 4: Simplify right side
    550.82x = 285,941.51
  5. Step 5: Solve for x
    x = 285,941.51/550.82
  6. Step 6: Final answer
    x = 519.12

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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.