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Finding the Fourth Proportional to 550.17, 820.50 and 468.42

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Solution

The fourth proportional to 550.17, 820.50 and 468.42 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 820.50 = 468.42 : x
  2. Step 2: Convert to fraction form
    550.17/820.50 = 468.42/x
  3. Step 3: Cross multiply
    550.17x = 820.50 × 468.42
  4. Step 4: Simplify right side
    550.17x = 384,338.61
  5. Step 5: Solve for x
    x = 384,338.61/550.17
  6. Step 6: Final answer
    x = 698.58

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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.