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Finding the Fourth Proportional to 599.91, 827.87 and 403.46

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Solution

The fourth proportional to 599.91, 827.87 and 403.46 is: 556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 827.87 = 403.46 : x
  2. Step 2: Convert to fraction form
    599.91/827.87 = 403.46/x
  3. Step 3: Cross multiply
    599.91x = 827.87 × 403.46
  4. Step 4: Simplify right side
    599.91x = 334,009.32
  5. Step 5: Solve for x
    x = 334,009.32/599.91
  6. Step 6: Final answer
    x = 556.77

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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.