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Finding the Fourth Proportional to 415.44, 573.08 and 284.22

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Solution

The fourth proportional to 415.44, 573.08 and 284.22 is: 392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 573.08 = 284.22 : x
  2. Step 2: Convert to fraction form
    415.44/573.08 = 284.22/x
  3. Step 3: Cross multiply
    415.44x = 573.08 × 284.22
  4. Step 4: Simplify right side
    415.44x = 162,879.38
  5. Step 5: Solve for x
    x = 162,879.38/415.44
  6. Step 6: Final answer
    x = 392.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.