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Finding the Fourth Proportional to 598.77, 826.05 and 359.45

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Solution

The fourth proportional to 598.77, 826.05 and 359.45 is: 495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.77 : 826.05 = 359.45 : x
  2. Step 2: Convert to fraction form
    598.77/826.05 = 359.45/x
  3. Step 3: Cross multiply
    598.77x = 826.05 × 359.45
  4. Step 4: Simplify right side
    598.77x = 296,919.54
  5. Step 5: Solve for x
    x = 296,919.54/598.77
  6. Step 6: Final answer
    x = 495.88

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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.