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Finding the Fourth Proportional to 550.48, 822.38 and 440.08

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Solution

The fourth proportional to 550.48, 822.38 and 440.08 is: 657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 822.38 = 440.08 : x
  2. Step 2: Convert to fraction form
    550.48/822.38 = 440.08/x
  3. Step 3: Cross multiply
    550.48x = 822.38 × 440.08
  4. Step 4: Simplify right side
    550.48x = 361,912.99
  5. Step 5: Solve for x
    x = 361,912.99/550.48
  6. Step 6: Final answer
    x = 657.45

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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.