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Finding the Fourth Proportional to 415.42, 573.31 and 228.94

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Solution

The fourth proportional to 415.42, 573.31 and 228.94 is: 315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 573.31 = 228.94 : x
  2. Step 2: Convert to fraction form
    415.42/573.31 = 228.94/x
  3. Step 3: Cross multiply
    415.42x = 573.31 × 228.94
  4. Step 4: Simplify right side
    415.42x = 131,252.45
  5. Step 5: Solve for x
    x = 131,252.45/415.42
  6. Step 6: Final answer
    x = 315.96

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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.