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Finding the Fourth Proportional to 905.78, 1,358.37 and 320.76

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Solution

The fourth proportional to 905.78, 1,358.37 and 320.76 is: 481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.78 : 1,358.37 = 320.76 : x
  2. Step 2: Convert to fraction form
    905.78/1,358.37 = 320.76/x
  3. Step 3: Cross multiply
    905.78x = 1,358.37 × 320.76
  4. Step 4: Simplify right side
    905.78x = 435,710.76
  5. Step 5: Solve for x
    x = 435,710.76/905.78
  6. Step 6: Final answer
    x = 481.03

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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.