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Finding the Fourth Proportional to 305.60, 458.65 and 227.58

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Solution

The fourth proportional to 305.60, 458.65 and 227.58 is: 341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 458.65 = 227.58 : x
  2. Step 2: Convert to fraction form
    305.60/458.65 = 227.58/x
  3. Step 3: Cross multiply
    305.60x = 458.65 × 227.58
  4. Step 4: Simplify right side
    305.60x = 104,379.57
  5. Step 5: Solve for x
    x = 104,379.57/305.60
  6. Step 6: Final answer
    x = 341.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.