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Finding the Fourth Proportional to 594.43, 820.35 and 328.87

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Solution

The fourth proportional to 594.43, 820.35 and 328.87 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.43 : 820.35 = 328.87 : x
  2. Step 2: Convert to fraction form
    594.43/820.35 = 328.87/x
  3. Step 3: Cross multiply
    594.43x = 820.35 × 328.87
  4. Step 4: Simplify right side
    594.43x = 269,788.50
  5. Step 5: Solve for x
    x = 269,788.50/594.43
  6. Step 6: Final answer
    x = 453.86

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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.