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Finding the Fourth Proportional to 594.95, 821.11 and 374.19

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Solution

The fourth proportional to 594.95, 821.11 and 374.19 is: 516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 821.11 = 374.19 : x
  2. Step 2: Convert to fraction form
    594.95/821.11 = 374.19/x
  3. Step 3: Cross multiply
    594.95x = 821.11 × 374.19
  4. Step 4: Simplify right side
    594.95x = 307,251.15
  5. Step 5: Solve for x
    x = 307,251.15/594.95
  6. Step 6: Final answer
    x = 516.43

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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.