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Finding the Fourth Proportional to 382.42, 527.73 and 207.77

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Solution

The fourth proportional to 382.42, 527.73 and 207.77 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 527.73 = 207.77 : x
  2. Step 2: Convert to fraction form
    382.42/527.73 = 207.77/x
  3. Step 3: Cross multiply
    382.42x = 527.73 × 207.77
  4. Step 4: Simplify right side
    382.42x = 109,646.46
  5. Step 5: Solve for x
    x = 109,646.46/382.42
  6. Step 6: Final answer
    x = 286.72

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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.