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Finding the Fourth Proportional to 598.70, 826.00 and 349.88

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Solution

The fourth proportional to 598.70, 826.00 and 349.88 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 826.00 = 349.88 : x
  2. Step 2: Convert to fraction form
    598.70/826.00 = 349.88/x
  3. Step 3: Cross multiply
    598.70x = 826.00 × 349.88
  4. Step 4: Simplify right side
    598.70x = 288,995.88
  5. Step 5: Solve for x
    x = 288,995.88/598.70
  6. Step 6: Final answer
    x = 482.71

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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.