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Finding the Fourth Proportional to 415.24, 573.01 and 228.73

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Solution

The fourth proportional to 415.24, 573.01 and 228.73 is: 315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 573.01 = 228.73 : x
  2. Step 2: Convert to fraction form
    415.24/573.01 = 228.73/x
  3. Step 3: Cross multiply
    415.24x = 573.01 × 228.73
  4. Step 4: Simplify right side
    415.24x = 131,064.58
  5. Step 5: Solve for x
    x = 131,064.58/415.24
  6. Step 6: Final answer
    x = 315.64

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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.