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Finding the Fourth Proportional to 802.92, 1,204.02 and 369.78

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Solution

The fourth proportional to 802.92, 1,204.02 and 369.78 is: 554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.92 : 1,204.02 = 369.78 : x
  2. Step 2: Convert to fraction form
    802.92/1,204.02 = 369.78/x
  3. Step 3: Cross multiply
    802.92x = 1,204.02 × 369.78
  4. Step 4: Simplify right side
    802.92x = 445,222.52
  5. Step 5: Solve for x
    x = 445,222.52/802.92
  6. Step 6: Final answer
    x = 554.50

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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.