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Finding the Fourth Proportional to 594.35, 820.22 and 397.72

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Solution

The fourth proportional to 594.35, 820.22 and 397.72 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.35 : 820.22 = 397.72 : x
  2. Step 2: Convert to fraction form
    594.35/820.22 = 397.72/x
  3. Step 3: Cross multiply
    594.35x = 820.22 × 397.72
  4. Step 4: Simplify right side
    594.35x = 326,213.86
  5. Step 5: Solve for x
    x = 326,213.86/594.35
  6. Step 6: Final answer
    x = 548.86

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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.