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Finding the Fourth Proportional to 598.60, 827.22 and 467.38

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Solution

The fourth proportional to 598.60, 827.22 and 467.38 is: 645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 827.22 = 467.38 : x
  2. Step 2: Convert to fraction form
    598.60/827.22 = 467.38/x
  3. Step 3: Cross multiply
    598.60x = 827.22 × 467.38
  4. Step 4: Simplify right side
    598.60x = 386,626.08
  5. Step 5: Solve for x
    x = 386,626.08/598.60
  6. Step 6: Final answer
    x = 645.88

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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.