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Finding the Fourth Proportional to 598.62, 826.29 and 377.94

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Solution

The fourth proportional to 598.62, 826.29 and 377.94 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 826.29 = 377.94 : x
  2. Step 2: Convert to fraction form
    598.62/826.29 = 377.94/x
  3. Step 3: Cross multiply
    598.62x = 826.29 × 377.94
  4. Step 4: Simplify right side
    598.62x = 312,288.04
  5. Step 5: Solve for x
    x = 312,288.04/598.62
  6. Step 6: Final answer
    x = 521.68

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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.