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Finding the Fourth Proportional to 599.58, 827.59 and 366.78

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Solution

The fourth proportional to 599.58, 827.59 and 366.78 is: 506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.58 : 827.59 = 366.78 : x
  2. Step 2: Convert to fraction form
    599.58/827.59 = 366.78/x
  3. Step 3: Cross multiply
    599.58x = 827.59 × 366.78
  4. Step 4: Simplify right side
    599.58x = 303,543.46
  5. Step 5: Solve for x
    x = 303,543.46/599.58
  6. Step 6: Final answer
    x = 506.26

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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.