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Finding the Fourth Proportional to 305.73, 458.46 and 215.01

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Solution

The fourth proportional to 305.73, 458.46 and 215.01 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.73 : 458.46 = 215.01 : x
  2. Step 2: Convert to fraction form
    305.73/458.46 = 215.01/x
  3. Step 3: Cross multiply
    305.73x = 458.46 × 215.01
  4. Step 4: Simplify right side
    305.73x = 98,573.48
  5. Step 5: Solve for x
    x = 98,573.48/305.73
  6. Step 6: Final answer
    x = 322.42

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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.