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Finding the Fourth Proportional to 383.52, 529.26 and 208.86

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Solution

The fourth proportional to 383.52, 529.26 and 208.86 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.52 : 529.26 = 208.86 : x
  2. Step 2: Convert to fraction form
    383.52/529.26 = 208.86/x
  3. Step 3: Cross multiply
    383.52x = 529.26 × 208.86
  4. Step 4: Simplify right side
    383.52x = 110,541.24
  5. Step 5: Solve for x
    x = 110,541.24/383.52
  6. Step 6: Final answer
    x = 288.23

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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.