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Finding the Fourth Proportional to 383.45, 575.44 and 152.29

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Solution

The fourth proportional to 383.45, 575.44 and 152.29 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.45 : 575.44 = 152.29 : x
  2. Step 2: Convert to fraction form
    383.45/575.44 = 152.29/x
  3. Step 3: Cross multiply
    383.45x = 575.44 × 152.29
  4. Step 4: Simplify right side
    383.45x = 87,634.10
  5. Step 5: Solve for x
    x = 87,634.10/383.45
  6. Step 6: Final answer
    x = 228.54

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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.