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Finding the Fourth Proportional to 905.18, 1,357.97 and 280.48

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Solution

The fourth proportional to 905.18, 1,357.97 and 280.48 is: 420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.18 : 1,357.97 = 280.48 : x
  2. Step 2: Convert to fraction form
    905.18/1,357.97 = 280.48/x
  3. Step 3: Cross multiply
    905.18x = 1,357.97 × 280.48
  4. Step 4: Simplify right side
    905.18x = 380,875.23
  5. Step 5: Solve for x
    x = 380,875.23/905.18
  6. Step 6: Final answer
    x = 420.77

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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.