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Finding the Fourth Proportional to 905.29, 1,358.01 and 256.03

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Solution

The fourth proportional to 905.29, 1,358.01 and 256.03 is: 384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.29 : 1,358.01 = 256.03 : x
  2. Step 2: Convert to fraction form
    905.29/1,358.01 = 256.03/x
  3. Step 3: Cross multiply
    905.29x = 1,358.01 × 256.03
  4. Step 4: Simplify right side
    905.29x = 347,691.30
  5. Step 5: Solve for x
    x = 347,691.30/905.29
  6. Step 6: Final answer
    x = 384.07

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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.