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Finding the Fourth Proportional to 305.37, 458.12 and 247.96

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Solution

The fourth proportional to 305.37, 458.12 and 247.96 is: 372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.37 : 458.12 = 247.96 : x
  2. Step 2: Convert to fraction form
    305.37/458.12 = 247.96/x
  3. Step 3: Cross multiply
    305.37x = 458.12 × 247.96
  4. Step 4: Simplify right side
    305.37x = 113,596.63
  5. Step 5: Solve for x
    x = 113,596.63/305.37
  6. Step 6: Final answer
    x = 372.00

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Why These Related Problems?

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