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Finding the Fourth Proportional to 598.92, 826.74 and 461.32

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Solution

The fourth proportional to 598.92, 826.74 and 461.32 is: 636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 826.74 = 461.32 : x
  2. Step 2: Convert to fraction form
    598.92/826.74 = 461.32/x
  3. Step 3: Cross multiply
    598.92x = 826.74 × 461.32
  4. Step 4: Simplify right side
    598.92x = 381,391.70
  5. Step 5: Solve for x
    x = 381,391.70/598.92
  6. Step 6: Final answer
    x = 636.80

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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.