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Finding the Fourth Proportional to 282.70, 424.62 and 278.44

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Solution

The fourth proportional to 282.70, 424.62 and 278.44 is: 418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.70 : 424.62 = 278.44 : x
  2. Step 2: Convert to fraction form
    282.70/424.62 = 278.44/x
  3. Step 3: Cross multiply
    282.70x = 424.62 × 278.44
  4. Step 4: Simplify right side
    282.70x = 118,231.19
  5. Step 5: Solve for x
    x = 118,231.19/282.70
  6. Step 6: Final answer
    x = 418.22

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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.