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Finding the Fourth Proportional to 382.50, 527.85 and 207.84

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Solution

The fourth proportional to 382.50, 527.85 and 207.84 is: 286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 527.85 = 207.84 : x
  2. Step 2: Convert to fraction form
    382.50/527.85 = 207.84/x
  3. Step 3: Cross multiply
    382.50x = 527.85 × 207.84
  4. Step 4: Simplify right side
    382.50x = 109,710.32
  5. Step 5: Solve for x
    x = 109,710.32/382.50
  6. Step 6: Final answer
    x = 286.82

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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.