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Finding the Fourth Proportional to 594.80, 821.05 and 361.88

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Solution

The fourth proportional to 594.80, 821.05 and 361.88 is: 499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 821.05 = 361.88 : x
  2. Step 2: Convert to fraction form
    594.80/821.05 = 361.88/x
  3. Step 3: Cross multiply
    594.80x = 821.05 × 361.88
  4. Step 4: Simplify right side
    594.80x = 297,116.56
  5. Step 5: Solve for x
    x = 297,116.56/594.80
  6. Step 6: Final answer
    x = 499.53

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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.