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Finding the Fourth Proportional to 821.21, 1,230.60 and 358.57

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Solution

The fourth proportional to 821.21, 1,230.60 and 358.57 is: 537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.21 : 1,230.60 = 358.57 : x
  2. Step 2: Convert to fraction form
    821.21/1,230.60 = 358.57/x
  3. Step 3: Cross multiply
    821.21x = 1,230.60 × 358.57
  4. Step 4: Simplify right side
    821.21x = 441,250.09
  5. Step 5: Solve for x
    x = 441,250.09/821.21
  6. Step 6: Final answer
    x = 537.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.