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Finding the Fourth Proportional to 415.34, 573.18 and 228.83

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Solution

The fourth proportional to 415.34, 573.18 and 228.83 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 573.18 = 228.83 : x
  2. Step 2: Convert to fraction form
    415.34/573.18 = 228.83/x
  3. Step 3: Cross multiply
    415.34x = 573.18 × 228.83
  4. Step 4: Simplify right side
    415.34x = 131,160.78
  5. Step 5: Solve for x
    x = 131,160.78/415.34
  6. Step 6: Final answer
    x = 315.79

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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.