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Finding the Fourth Proportional to 330.94, 496.38 and 87.45

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Solution

The fourth proportional to 330.94, 496.38 and 87.45 is: 131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.94 : 496.38 = 87.45 : x
  2. Step 2: Convert to fraction form
    330.94/496.38 = 87.45/x
  3. Step 3: Cross multiply
    330.94x = 496.38 × 87.45
  4. Step 4: Simplify right side
    330.94x = 43,408.43
  5. Step 5: Solve for x
    x = 43,408.43/330.94
  6. Step 6: Final answer
    x = 131.17

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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.