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Finding the Fourth Proportional to 598.98, 896.41 and 379.74

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Solution

The fourth proportional to 598.98, 896.41 and 379.74 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.98 : 896.41 = 379.74 : x
  2. Step 2: Convert to fraction form
    598.98/896.41 = 379.74/x
  3. Step 3: Cross multiply
    598.98x = 896.41 × 379.74
  4. Step 4: Simplify right side
    598.98x = 340,402.73
  5. Step 5: Solve for x
    x = 340,402.73/598.98
  6. Step 6: Final answer
    x = 568.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.