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Finding the Fourth Proportional to 383, 574.24 and 190.76

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Solution

The fourth proportional to 383, 574.24 and 190.76 is: 286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 574.24 = 190.76 : x
  2. Step 2: Convert to fraction form
    383/574.24 = 190.76/x
  3. Step 3: Cross multiply
    383x = 574.24 × 190.76
  4. Step 4: Simplify right side
    383x = 109,542.02
  5. Step 5: Solve for x
    x = 109,542.02/383
  6. Step 6: Final answer
    x = 286.01

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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.