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Finding the Fourth Proportional to 594.41, 820.12 and 361.37

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Solution

The fourth proportional to 594.41, 820.12 and 361.37 is: 498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 820.12 = 361.37 : x
  2. Step 2: Convert to fraction form
    594.41/820.12 = 361.37/x
  3. Step 3: Cross multiply
    594.41x = 820.12 × 361.37
  4. Step 4: Simplify right side
    594.41x = 296,366.76
  5. Step 5: Solve for x
    x = 296,366.76/594.41
  6. Step 6: Final answer
    x = 498.59

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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.