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Finding the Fourth Proportional to 598.58, 826.17 and 365.84

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Solution

The fourth proportional to 598.58, 826.17 and 365.84 is: 504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.58 : 826.17 = 365.84 : x
  2. Step 2: Convert to fraction form
    598.58/826.17 = 365.84/x
  3. Step 3: Cross multiply
    598.58x = 826.17 × 365.84
  4. Step 4: Simplify right side
    598.58x = 302,246.03
  5. Step 5: Solve for x
    x = 302,246.03/598.58
  6. Step 6: Final answer
    x = 504.94

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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.