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Finding the Fourth Proportional to 598.66, 827.22 and 574.36

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Solution

The fourth proportional to 598.66, 827.22 and 574.36 is: 793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.66 : 827.22 = 574.36 : x
  2. Step 2: Convert to fraction form
    598.66/827.22 = 574.36/x
  3. Step 3: Cross multiply
    598.66x = 827.22 × 574.36
  4. Step 4: Simplify right side
    598.66x = 475,122.08
  5. Step 5: Solve for x
    x = 475,122.08/598.66
  6. Step 6: Final answer
    x = 793.64

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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.