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Finding the Fourth Proportional to 802.71, 1,204.07 and 225.59

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Solution

The fourth proportional to 802.71, 1,204.07 and 225.59 is: 338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.71 : 1,204.07 = 225.59 : x
  2. Step 2: Convert to fraction form
    802.71/1,204.07 = 225.59/x
  3. Step 3: Cross multiply
    802.71x = 1,204.07 × 225.59
  4. Step 4: Simplify right side
    802.71x = 271,619.00
  5. Step 5: Solve for x
    x = 271,619.00/802.71
  6. Step 6: Final answer
    x = 338.38

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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.