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Finding the Fourth Proportional to 802.09, 1,203.27 and 308.46

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Solution

The fourth proportional to 802.09, 1,203.27 and 308.46 is: 462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.09 : 1,203.27 = 308.46 : x
  2. Step 2: Convert to fraction form
    802.09/1,203.27 = 308.46/x
  3. Step 3: Cross multiply
    802.09x = 1,203.27 × 308.46
  4. Step 4: Simplify right side
    802.09x = 371,160.66
  5. Step 5: Solve for x
    x = 371,160.66/802.09
  6. Step 6: Final answer
    x = 462.74

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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.