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Finding the Fourth Proportional to 598.59, 826.18 and 377.83

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Solution

The fourth proportional to 598.59, 826.18 and 377.83 is: 521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.59 : 826.18 = 377.83 : x
  2. Step 2: Convert to fraction form
    598.59/826.18 = 377.83/x
  3. Step 3: Cross multiply
    598.59x = 826.18 × 377.83
  4. Step 4: Simplify right side
    598.59x = 312,157.80
  5. Step 5: Solve for x
    x = 312,157.80/598.59
  6. Step 6: Final answer
    x = 521.49

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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.