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Finding the Fourth Proportional to 594.52, 820.20 and 361.24

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Solution

The fourth proportional to 594.52, 820.20 and 361.24 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.52 : 820.20 = 361.24 : x
  2. Step 2: Convert to fraction form
    594.52/820.20 = 361.24/x
  3. Step 3: Cross multiply
    594.52x = 820.20 × 361.24
  4. Step 4: Simplify right side
    594.52x = 296,289.05
  5. Step 5: Solve for x
    x = 296,289.05/594.52
  6. Step 6: Final answer
    x = 498.37

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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.