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Finding the Fourth Proportional to 594.25, 820.11 and 361.42

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Solution

The fourth proportional to 594.25, 820.11 and 361.42 is: 498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.25 : 820.11 = 361.42 : x
  2. Step 2: Convert to fraction form
    594.25/820.11 = 361.42/x
  3. Step 3: Cross multiply
    594.25x = 820.11 × 361.42
  4. Step 4: Simplify right side
    594.25x = 296,404.16
  5. Step 5: Solve for x
    x = 296,404.16/594.25
  6. Step 6: Final answer
    x = 498.79

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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.