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Finding the Fourth Proportional to 550.16, 823.84 and 367.28

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Solution

The fourth proportional to 550.16, 823.84 and 367.28 is: 549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.16 : 823.84 = 367.28 : x
  2. Step 2: Convert to fraction form
    550.16/823.84 = 367.28/x
  3. Step 3: Cross multiply
    550.16x = 823.84 × 367.28
  4. Step 4: Simplify right side
    550.16x = 302,579.96
  5. Step 5: Solve for x
    x = 302,579.96/550.16
  6. Step 6: Final answer
    x = 549.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.