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Finding the Fourth Proportional to 802.32, 1,202.62 and 282.04

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Solution

The fourth proportional to 802.32, 1,202.62 and 282.04 is: 422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.32 : 1,202.62 = 282.04 : x
  2. Step 2: Convert to fraction form
    802.32/1,202.62 = 282.04/x
  3. Step 3: Cross multiply
    802.32x = 1,202.62 × 282.04
  4. Step 4: Simplify right side
    802.32x = 339,186.94
  5. Step 5: Solve for x
    x = 339,186.94/802.32
  6. Step 6: Final answer
    x = 422.76

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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.