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Finding the Fourth Proportional to 599.82, 898.80 and 356.22

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Solution

The fourth proportional to 599.82, 898.80 and 356.22 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.82 : 898.80 = 356.22 : x
  2. Step 2: Convert to fraction form
    599.82/898.80 = 356.22/x
  3. Step 3: Cross multiply
    599.82x = 898.80 × 356.22
  4. Step 4: Simplify right side
    599.82x = 320,170.54
  5. Step 5: Solve for x
    x = 320,170.54/599.82
  6. Step 6: Final answer
    x = 533.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.