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Finding the Fourth Proportional to 893.22, 1,339.46 and 315.96

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Solution

The fourth proportional to 893.22, 1,339.46 and 315.96 is: 473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.22 : 1,339.46 = 315.96 : x
  2. Step 2: Convert to fraction form
    893.22/1,339.46 = 315.96/x
  3. Step 3: Cross multiply
    893.22x = 1,339.46 × 315.96
  4. Step 4: Simplify right side
    893.22x = 423,215.78
  5. Step 5: Solve for x
    x = 423,215.78/893.22
  6. Step 6: Final answer
    x = 473.81

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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.