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Finding the Fourth Proportional to 599.93, 827.78 and 460.20

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Solution

The fourth proportional to 599.93, 827.78 and 460.20 is: 634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.93 : 827.78 = 460.20 : x
  2. Step 2: Convert to fraction form
    599.93/827.78 = 460.20/x
  3. Step 3: Cross multiply
    599.93x = 827.78 × 460.20
  4. Step 4: Simplify right side
    599.93x = 380,942.06
  5. Step 5: Solve for x
    x = 380,942.06/599.93
  6. Step 6: Final answer
    x = 634.98

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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.