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Finding the Fourth Proportional to 594.83, 892.53 and 229.61

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Solution

The fourth proportional to 594.83, 892.53 and 229.61 is: 344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.83 : 892.53 = 229.61 : x
  2. Step 2: Convert to fraction form
    594.83/892.53 = 229.61/x
  3. Step 3: Cross multiply
    594.83x = 892.53 × 229.61
  4. Step 4: Simplify right side
    594.83x = 204,933.81
  5. Step 5: Solve for x
    x = 204,933.81/594.83
  6. Step 6: Final answer
    x = 344.53

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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.