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Finding the Fourth Proportional to 599.92, 827.64 and 403.49

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Solution

The fourth proportional to 599.92, 827.64 and 403.49 is: 556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.92 : 827.64 = 403.49 : x
  2. Step 2: Convert to fraction form
    599.92/827.64 = 403.49/x
  3. Step 3: Cross multiply
    599.92x = 827.64 × 403.49
  4. Step 4: Simplify right side
    599.92x = 333,946.53
  5. Step 5: Solve for x
    x = 333,946.53/599.92
  6. Step 6: Final answer
    x = 556.65

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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.