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Finding the Fourth Proportional to 383.49, 529.20 and 208.83

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Solution

The fourth proportional to 383.49, 529.20 and 208.83 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.49 : 529.20 = 208.83 : x
  2. Step 2: Convert to fraction form
    383.49/529.20 = 208.83/x
  3. Step 3: Cross multiply
    383.49x = 529.20 × 208.83
  4. Step 4: Simplify right side
    383.49x = 110,510.19
  5. Step 5: Solve for x
    x = 110,510.19/383.49
  6. Step 6: Final answer
    x = 288.17

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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.