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Finding the Fourth Proportional to 802.92, 1,204.50 and 282.98

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Solution

The fourth proportional to 802.92, 1,204.50 and 282.98 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.92 : 1,204.50 = 282.98 : x
  2. Step 2: Convert to fraction form
    802.92/1,204.50 = 282.98/x
  3. Step 3: Cross multiply
    802.92x = 1,204.50 × 282.98
  4. Step 4: Simplify right side
    802.92x = 340,849.41
  5. Step 5: Solve for x
    x = 340,849.41/802.92
  6. Step 6: Final answer
    x = 424.51

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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.