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Finding the Fourth Proportional to 598.74, 826.29 and 336.78

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Solution

The fourth proportional to 598.74, 826.29 and 336.78 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 826.29 = 336.78 : x
  2. Step 2: Convert to fraction form
    598.74/826.29 = 336.78/x
  3. Step 3: Cross multiply
    598.74x = 826.29 × 336.78
  4. Step 4: Simplify right side
    598.74x = 278,277.95
  5. Step 5: Solve for x
    x = 278,277.95/598.74
  6. Step 6: Final answer
    x = 464.77

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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.