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Finding the Fourth Proportional to 550.99, 822.22 and 463.51

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Solution

The fourth proportional to 550.99, 822.22 and 463.51 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.99 : 822.22 = 463.51 : x
  2. Step 2: Convert to fraction form
    550.99/822.22 = 463.51/x
  3. Step 3: Cross multiply
    550.99x = 822.22 × 463.51
  4. Step 4: Simplify right side
    550.99x = 381,107.19
  5. Step 5: Solve for x
    x = 381,107.19/550.99
  6. Step 6: Final answer
    x = 691.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.