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Finding the Fourth Proportional to 382.94, 527.73 and 266.30

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Solution

The fourth proportional to 382.94, 527.73 and 266.30 is: 366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 527.73 = 266.30 : x
  2. Step 2: Convert to fraction form
    382.94/527.73 = 266.30/x
  3. Step 3: Cross multiply
    382.94x = 527.73 × 266.30
  4. Step 4: Simplify right side
    382.94x = 140,534.50
  5. Step 5: Solve for x
    x = 140,534.50/382.94
  6. Step 6: Final answer
    x = 366.99

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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.