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Finding the Fourth Proportional to 598.80, 826.35 and 365.92

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Solution

The fourth proportional to 598.80, 826.35 and 365.92 is: 504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 826.35 = 365.92 : x
  2. Step 2: Convert to fraction form
    598.80/826.35 = 365.92/x
  3. Step 3: Cross multiply
    598.80x = 826.35 × 365.92
  4. Step 4: Simplify right side
    598.80x = 302,377.99
  5. Step 5: Solve for x
    x = 302,377.99/598.80
  6. Step 6: Final answer
    x = 504.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.