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Finding the Fourth Proportional to 598.71, 826.21 and 365.83

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Solution

The fourth proportional to 598.71, 826.21 and 365.83 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.71 : 826.21 = 365.83 : x
  2. Step 2: Convert to fraction form
    598.71/826.21 = 365.83/x
  3. Step 3: Cross multiply
    598.71x = 826.21 × 365.83
  4. Step 4: Simplify right side
    598.71x = 302,252.40
  5. Step 5: Solve for x
    x = 302,252.40/598.71
  6. Step 6: Final answer
    x = 504.84

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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.