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Finding the Fourth Proportional to 305.73, 458.56 and 245.23

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Solution

The fourth proportional to 305.73, 458.56 and 245.23 is: 367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.73 : 458.56 = 245.23 : x
  2. Step 2: Convert to fraction form
    305.73/458.56 = 245.23/x
  3. Step 3: Cross multiply
    305.73x = 458.56 × 245.23
  4. Step 4: Simplify right side
    305.73x = 112,452.67
  5. Step 5: Solve for x
    x = 112,452.67/305.73
  6. Step 6: Final answer
    x = 367.82

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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.