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Finding the Fourth Proportional to 599.75, 827.96 and 403.59

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Solution

The fourth proportional to 599.75, 827.96 and 403.59 is: 557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.75 : 827.96 = 403.59 : x
  2. Step 2: Convert to fraction form
    599.75/827.96 = 403.59/x
  3. Step 3: Cross multiply
    599.75x = 827.96 × 403.59
  4. Step 4: Simplify right side
    599.75x = 334,154.36
  5. Step 5: Solve for x
    x = 334,154.36/599.75
  6. Step 6: Final answer
    x = 557.16

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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.