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Finding the Fourth Proportional to 600.18, 827.73 and 468.96

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Solution

The fourth proportional to 600.18, 827.73 and 468.96 is: 646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.18 : 827.73 = 468.96 : x
  2. Step 2: Convert to fraction form
    600.18/827.73 = 468.96/x
  3. Step 3: Cross multiply
    600.18x = 827.73 × 468.96
  4. Step 4: Simplify right side
    600.18x = 388,172.26
  5. Step 5: Solve for x
    x = 388,172.26/600.18
  6. Step 6: Final answer
    x = 646.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.