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Finding the Fourth Proportional to 305.72, 458.80 and 237.07

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Solution

The fourth proportional to 305.72, 458.80 and 237.07 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.72 : 458.80 = 237.07 : x
  2. Step 2: Convert to fraction form
    305.72/458.80 = 237.07/x
  3. Step 3: Cross multiply
    305.72x = 458.80 × 237.07
  4. Step 4: Simplify right side
    305.72x = 108,765.98
  5. Step 5: Solve for x
    x = 108,765.98/305.72
  6. Step 6: Final answer
    x = 355.78

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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.