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Finding the Fourth Proportional to 383.23, 528.84 and 212.86

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Solution

The fourth proportional to 383.23, 528.84 and 212.86 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.23 : 528.84 = 212.86 : x
  2. Step 2: Convert to fraction form
    383.23/528.84 = 212.86/x
  3. Step 3: Cross multiply
    383.23x = 528.84 × 212.86
  4. Step 4: Simplify right side
    383.23x = 112,569.54
  5. Step 5: Solve for x
    x = 112,569.54/383.23
  6. Step 6: Final answer
    x = 293.74

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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.