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Finding the Fourth Proportional to 598.96, 826.52 and 337.02

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Solution

The fourth proportional to 598.96, 826.52 and 337.02 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 826.52 = 337.02 : x
  2. Step 2: Convert to fraction form
    598.96/826.52 = 337.02/x
  3. Step 3: Cross multiply
    598.96x = 826.52 × 337.02
  4. Step 4: Simplify right side
    598.96x = 278,553.77
  5. Step 5: Solve for x
    x = 278,553.77/598.96
  6. Step 6: Final answer
    x = 465.06

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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.