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Finding the Fourth Proportional to 331.89, 457.80 and 215.46

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Solution

The fourth proportional to 331.89, 457.80 and 215.46 is: 297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.89 : 457.80 = 215.46 : x
  2. Step 2: Convert to fraction form
    331.89/457.80 = 215.46/x
  3. Step 3: Cross multiply
    331.89x = 457.80 × 215.46
  4. Step 4: Simplify right side
    331.89x = 98,637.59
  5. Step 5: Solve for x
    x = 98,637.59/331.89
  6. Step 6: Final answer
    x = 297.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.