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Finding the Fourth Proportional to 599.93, 827.26 and 403.10

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Solution

The fourth proportional to 599.93, 827.26 and 403.10 is: 555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.93 : 827.26 = 403.10 : x
  2. Step 2: Convert to fraction form
    599.93/827.26 = 403.10/x
  3. Step 3: Cross multiply
    599.93x = 827.26 × 403.10
  4. Step 4: Simplify right side
    599.93x = 333,471.06
  5. Step 5: Solve for x
    x = 333,471.06/599.93
  6. Step 6: Final answer
    x = 555.85

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