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Finding the Fourth Proportional to 550.29, 823.59 and 459.15

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Solution

The fourth proportional to 550.29, 823.59 and 459.15 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 823.59 = 459.15 : x
  2. Step 2: Convert to fraction form
    550.29/823.59 = 459.15/x
  3. Step 3: Cross multiply
    550.29x = 823.59 × 459.15
  4. Step 4: Simplify right side
    550.29x = 378,151.35
  5. Step 5: Solve for x
    x = 378,151.35/550.29
  6. Step 6: Final answer
    x = 687.19

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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.