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Finding the Fourth Proportional to 597.22, 826.13 and 498.80

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Solution

The fourth proportional to 597.22, 826.13 and 498.80 is: 689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.22 : 826.13 = 498.80 : x
  2. Step 2: Convert to fraction form
    597.22/826.13 = 498.80/x
  3. Step 3: Cross multiply
    597.22x = 826.13 × 498.80
  4. Step 4: Simplify right side
    597.22x = 412,073.64
  5. Step 5: Solve for x
    x = 412,073.64/597.22
  6. Step 6: Final answer
    x = 689.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.