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Finding the Fourth Proportional to 383.52, 529.36 and 243.84

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Solution

The fourth proportional to 383.52, 529.36 and 243.84 is: 336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.52 : 529.36 = 243.84 : x
  2. Step 2: Convert to fraction form
    383.52/529.36 = 243.84/x
  3. Step 3: Cross multiply
    383.52x = 529.36 × 243.84
  4. Step 4: Simplify right side
    383.52x = 129,079.14
  5. Step 5: Solve for x
    x = 129,079.14/383.52
  6. Step 6: Final answer
    x = 336.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.