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Finding the Fourth Proportional to 600.29, 826.41 and 526.49

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Solution

The fourth proportional to 600.29, 826.41 and 526.49 is: 724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.29 : 826.41 = 526.49 : x
  2. Step 2: Convert to fraction form
    600.29/826.41 = 526.49/x
  3. Step 3: Cross multiply
    600.29x = 826.41 × 526.49
  4. Step 4: Simplify right side
    600.29x = 435,092.47
  5. Step 5: Solve for x
    x = 435,092.47/600.29
  6. Step 6: Final answer
    x = 724.81

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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.