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Finding the Fourth Proportional to 594.24, 819.90 and 397.86

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Solution

The fourth proportional to 594.24, 819.90 and 397.86 is: 548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.24 : 819.90 = 397.86 : x
  2. Step 2: Convert to fraction form
    594.24/819.90 = 397.86/x
  3. Step 3: Cross multiply
    594.24x = 819.90 × 397.86
  4. Step 4: Simplify right side
    594.24x = 326,205.41
  5. Step 5: Solve for x
    x = 326,205.41/594.24
  6. Step 6: Final answer
    x = 548.95

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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.