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Finding the Fourth Proportional to 550.43, 824.76 and 290.42

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Solution

The fourth proportional to 550.43, 824.76 and 290.42 is: 435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.43 : 824.76 = 290.42 : x
  2. Step 2: Convert to fraction form
    550.43/824.76 = 290.42/x
  3. Step 3: Cross multiply
    550.43x = 824.76 × 290.42
  4. Step 4: Simplify right side
    550.43x = 239,522.68
  5. Step 5: Solve for x
    x = 239,522.68/550.43
  6. Step 6: Final answer
    x = 435.16

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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.