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Finding the Fourth Proportional to 383.80, 575.70 and 95.24

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Solution

The fourth proportional to 383.80, 575.70 and 95.24 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.80 : 575.70 = 95.24 : x
  2. Step 2: Convert to fraction form
    383.80/575.70 = 95.24/x
  3. Step 3: Cross multiply
    383.80x = 575.70 × 95.24
  4. Step 4: Simplify right side
    383.80x = 54,826.79
  5. Step 5: Solve for x
    x = 54,826.79/383.80
  6. Step 6: Final answer
    x = 142.85

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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.