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Finding the Fourth Proportional to 802.29, 1,203.56 and 282.36

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Solution

The fourth proportional to 802.29, 1,203.56 and 282.36 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.29 : 1,203.56 = 282.36 : x
  2. Step 2: Convert to fraction form
    802.29/1,203.56 = 282.36/x
  3. Step 3: Cross multiply
    802.29x = 1,203.56 × 282.36
  4. Step 4: Simplify right side
    802.29x = 339,837.20
  5. Step 5: Solve for x
    x = 339,837.20/802.29
  6. Step 6: Final answer
    x = 423.58

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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.