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Finding the Fourth Proportional to 594.60, 819.78 and 477.96

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Solution

The fourth proportional to 594.60, 819.78 and 477.96 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 819.78 = 477.96 : x
  2. Step 2: Convert to fraction form
    594.60/819.78 = 477.96/x
  3. Step 3: Cross multiply
    594.60x = 819.78 × 477.96
  4. Step 4: Simplify right side
    594.60x = 391,822.05
  5. Step 5: Solve for x
    x = 391,822.05/594.60
  6. Step 6: Final answer
    x = 658.97

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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.