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Finding the Fourth Proportional to 383.47, 528.84 and 243.36

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Solution

The fourth proportional to 383.47, 528.84 and 243.36 is: 335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.47 : 528.84 = 243.36 : x
  2. Step 2: Convert to fraction form
    383.47/528.84 = 243.36/x
  3. Step 3: Cross multiply
    383.47x = 528.84 × 243.36
  4. Step 4: Simplify right side
    383.47x = 128,698.50
  5. Step 5: Solve for x
    x = 128,698.50/383.47
  6. Step 6: Final answer
    x = 335.62

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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.