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Finding the Fourth Proportional to 415.27, 573.02 and 228.74

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Solution

The fourth proportional to 415.27, 573.02 and 228.74 is: 315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.27 : 573.02 = 228.74 : x
  2. Step 2: Convert to fraction form
    415.27/573.02 = 228.74/x
  3. Step 3: Cross multiply
    415.27x = 573.02 × 228.74
  4. Step 4: Simplify right side
    415.27x = 131,074.60
  5. Step 5: Solve for x
    x = 131,074.60/415.27
  6. Step 6: Final answer
    x = 315.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.