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Finding the Fourth Proportional to 550.98, 824.81 and 355.59

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Solution

The fourth proportional to 550.98, 824.81 and 355.59 is: 532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 824.81 = 355.59 : x
  2. Step 2: Convert to fraction form
    550.98/824.81 = 355.59/x
  3. Step 3: Cross multiply
    550.98x = 824.81 × 355.59
  4. Step 4: Simplify right side
    550.98x = 293,294.19
  5. Step 5: Solve for x
    x = 293,294.19/550.98
  6. Step 6: Final answer
    x = 532.31

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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.