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Finding the Fourth Proportional to 594.87, 820.92 and 332.88

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Solution

The fourth proportional to 594.87, 820.92 and 332.88 is: 459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.87 : 820.92 = 332.88 : x
  2. Step 2: Convert to fraction form
    594.87/820.92 = 332.88/x
  3. Step 3: Cross multiply
    594.87x = 820.92 × 332.88
  4. Step 4: Simplify right side
    594.87x = 273,267.85
  5. Step 5: Solve for x
    x = 273,267.85/594.87
  6. Step 6: Final answer
    x = 459.37

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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.