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Finding the Fourth Proportional to 599.95, 827.64 and 363.75

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Solution

The fourth proportional to 599.95, 827.64 and 363.75 is: 501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.95 : 827.64 = 363.75 : x
  2. Step 2: Convert to fraction form
    599.95/827.64 = 363.75/x
  3. Step 3: Cross multiply
    599.95x = 827.64 × 363.75
  4. Step 4: Simplify right side
    599.95x = 301,054.05
  5. Step 5: Solve for x
    x = 301,054.05/599.95
  6. Step 6: Final answer
    x = 501.80

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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.