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Finding the Fourth Proportional to 415.29, 573.12 and 228.80

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Solution

The fourth proportional to 415.29, 573.12 and 228.80 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.29 : 573.12 = 228.80 : x
  2. Step 2: Convert to fraction form
    415.29/573.12 = 228.80/x
  3. Step 3: Cross multiply
    415.29x = 573.12 × 228.80
  4. Step 4: Simplify right side
    415.29x = 131,126.99
  5. Step 5: Solve for x
    x = 131,126.99/415.29
  6. Step 6: Final answer
    x = 315.75

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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.