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Finding the Fourth Proportional to 383.08, 528.78 and 284.92

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Solution

The fourth proportional to 383.08, 528.78 and 284.92 is: 393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.08 : 528.78 = 284.92 : x
  2. Step 2: Convert to fraction form
    383.08/528.78 = 284.92/x
  3. Step 3: Cross multiply
    383.08x = 528.78 × 284.92
  4. Step 4: Simplify right side
    383.08x = 150,660.00
  5. Step 5: Solve for x
    x = 150,660.00/383.08
  6. Step 6: Final answer
    x = 393.29

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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.