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Finding the Fourth Proportional to 283.22, 424.62 and 174.79

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Solution

The fourth proportional to 283.22, 424.62 and 174.79 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.22 : 424.62 = 174.79 : x
  2. Step 2: Convert to fraction form
    283.22/424.62 = 174.79/x
  3. Step 3: Cross multiply
    283.22x = 424.62 × 174.79
  4. Step 4: Simplify right side
    283.22x = 74,219.33
  5. Step 5: Solve for x
    x = 74,219.33/283.22
  6. Step 6: Final answer
    x = 262.06

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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.