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Finding the Fourth Proportional to 598.50, 826.20 and 443.52

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Solution

The fourth proportional to 598.50, 826.20 and 443.52 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.50 : 826.20 = 443.52 : x
  2. Step 2: Convert to fraction form
    598.50/826.20 = 443.52/x
  3. Step 3: Cross multiply
    598.50x = 826.20 × 443.52
  4. Step 4: Simplify right side
    598.50x = 366,436.22
  5. Step 5: Solve for x
    x = 366,436.22/598.50
  6. Step 6: Final answer
    x = 612.26

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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.