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Finding the Fourth Proportional to 415.34, 573.17 and 228.82

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Solution

The fourth proportional to 415.34, 573.17 and 228.82 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 573.17 = 228.82 : x
  2. Step 2: Convert to fraction form
    415.34/573.17 = 228.82/x
  3. Step 3: Cross multiply
    415.34x = 573.17 × 228.82
  4. Step 4: Simplify right side
    415.34x = 131,152.76
  5. Step 5: Solve for x
    x = 131,152.76/415.34
  6. Step 6: Final answer
    x = 315.77

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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.