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Finding the Fourth Proportional to 802.76, 1,204.14 and 225.64

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Solution

The fourth proportional to 802.76, 1,204.14 and 225.64 is: 338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.76 : 1,204.14 = 225.64 : x
  2. Step 2: Convert to fraction form
    802.76/1,204.14 = 225.64/x
  3. Step 3: Cross multiply
    802.76x = 1,204.14 × 225.64
  4. Step 4: Simplify right side
    802.76x = 271,702.15
  5. Step 5: Solve for x
    x = 271,702.15/802.76
  6. Step 6: Final answer
    x = 338.46

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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.