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Finding the Fourth Proportional to 383.51, 529.25 and 208.85

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Solution

The fourth proportional to 383.51, 529.25 and 208.85 is: 288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.51 : 529.25 = 208.85 : x
  2. Step 2: Convert to fraction form
    383.51/529.25 = 208.85/x
  3. Step 3: Cross multiply
    383.51x = 529.25 × 208.85
  4. Step 4: Simplify right side
    383.51x = 110,532.82
  5. Step 5: Solve for x
    x = 110,532.82/383.51
  6. Step 6: Final answer
    x = 288.22

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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.