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Finding the Fourth Proportional to 331.84, 457.63 and 207.42

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Solution

The fourth proportional to 331.84, 457.63 and 207.42 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.84 : 457.63 = 207.42 : x
  2. Step 2: Convert to fraction form
    331.84/457.63 = 207.42/x
  3. Step 3: Cross multiply
    331.84x = 457.63 × 207.42
  4. Step 4: Simplify right side
    331.84x = 94,921.61
  5. Step 5: Solve for x
    x = 94,921.61/331.84
  6. Step 6: Final answer
    x = 286.05

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Why These Related Problems?

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