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Finding the Fourth Proportional to 905.20, 1,357.80 and 288.97

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Solution

The fourth proportional to 905.20, 1,357.80 and 288.97 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,357.80 = 288.97 : x
  2. Step 2: Convert to fraction form
    905.20/1,357.80 = 288.97/x
  3. Step 3: Cross multiply
    905.20x = 1,357.80 × 288.97
  4. Step 4: Simplify right side
    905.20x = 392,363.47
  5. Step 5: Solve for x
    x = 392,363.47/905.20
  6. Step 6: Final answer
    x = 433.46

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Why These Related Problems?

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