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Finding the Fourth Proportional to 383.53, 575.31 and 109.65

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Solution

The fourth proportional to 383.53, 575.31 and 109.65 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.53 : 575.31 = 109.65 : x
  2. Step 2: Convert to fraction form
    383.53/575.31 = 109.65/x
  3. Step 3: Cross multiply
    383.53x = 575.31 × 109.65
  4. Step 4: Simplify right side
    383.53x = 63,079.86
  5. Step 5: Solve for x
    x = 63,079.86/383.53
  6. Step 6: Final answer
    x = 164.47

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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.