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Finding the Fourth Proportional to 599.48, 827.23 and 442.20

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Solution

The fourth proportional to 599.48, 827.23 and 442.20 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.48 : 827.23 = 442.20 : x
  2. Step 2: Convert to fraction form
    599.48/827.23 = 442.20/x
  3. Step 3: Cross multiply
    599.48x = 827.23 × 442.20
  4. Step 4: Simplify right side
    599.48x = 365,798.81
  5. Step 5: Solve for x
    x = 365,798.81/599.48
  6. Step 6: Final answer
    x = 610.19

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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.