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Finding the Fourth Proportional to 594.40, 820.28 and 328.86

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Solution

The fourth proportional to 594.40, 820.28 and 328.86 is: 453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.40 : 820.28 = 328.86 : x
  2. Step 2: Convert to fraction form
    594.40/820.28 = 328.86/x
  3. Step 3: Cross multiply
    594.40x = 820.28 × 328.86
  4. Step 4: Simplify right side
    594.40x = 269,757.28
  5. Step 5: Solve for x
    x = 269,757.28/594.40
  6. Step 6: Final answer
    x = 453.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.