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Finding the Fourth Proportional to 288.03, 397.62 and 208.35

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Solution

The fourth proportional to 288.03, 397.62 and 208.35 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.03 : 397.62 = 208.35 : x
  2. Step 2: Convert to fraction form
    288.03/397.62 = 208.35/x
  3. Step 3: Cross multiply
    288.03x = 397.62 × 208.35
  4. Step 4: Simplify right side
    288.03x = 82,844.13
  5. Step 5: Solve for x
    x = 82,844.13/288.03
  6. Step 6: Final answer
    x = 287.62

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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.