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Finding the Fourth Proportional to 383.52, 575.46 and 239.34

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Solution

The fourth proportional to 383.52, 575.46 and 239.34 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.52 : 575.46 = 239.34 : x
  2. Step 2: Convert to fraction form
    383.52/575.46 = 239.34/x
  3. Step 3: Cross multiply
    383.52x = 575.46 × 239.34
  4. Step 4: Simplify right side
    383.52x = 137,730.60
  5. Step 5: Solve for x
    x = 137,730.60/383.52
  6. Step 6: Final answer
    x = 359.12

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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.