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Finding the Fourth Proportional to 599.35, 827.87 and 458.61

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Solution

The fourth proportional to 599.35, 827.87 and 458.61 is: 633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.35 : 827.87 = 458.61 : x
  2. Step 2: Convert to fraction form
    599.35/827.87 = 458.61/x
  3. Step 3: Cross multiply
    599.35x = 827.87 × 458.61
  4. Step 4: Simplify right side
    599.35x = 379,669.46
  5. Step 5: Solve for x
    x = 379,669.46/599.35
  6. Step 6: Final answer
    x = 633.47

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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.