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Finding the Fourth Proportional to 802.57, 1,204 and 282.56

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Solution

The fourth proportional to 802.57, 1,204 and 282.56 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.57 : 1,204 = 282.56 : x
  2. Step 2: Convert to fraction form
    802.57/1,204 = 282.56/x
  3. Step 3: Cross multiply
    802.57x = 1,204 × 282.56
  4. Step 4: Simplify right side
    802.57x = 340,202.24
  5. Step 5: Solve for x
    x = 340,202.24/802.57
  6. Step 6: Final answer
    x = 423.89

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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.