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Finding the Fourth Proportional to 287.58, 397.26 and 228.72

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Solution

The fourth proportional to 287.58, 397.26 and 228.72 is: 315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.58 : 397.26 = 228.72 : x
  2. Step 2: Convert to fraction form
    287.58/397.26 = 228.72/x
  3. Step 3: Cross multiply
    287.58x = 397.26 × 228.72
  4. Step 4: Simplify right side
    287.58x = 90,861.31
  5. Step 5: Solve for x
    x = 90,861.31/287.58
  6. Step 6: Final answer
    x = 315.95

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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.