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Finding the Fourth Proportional to 291.34, 401.63 and 208.31

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Solution

The fourth proportional to 291.34, 401.63 and 208.31 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 401.63 = 208.31 : x
  2. Step 2: Convert to fraction form
    291.34/401.63 = 208.31/x
  3. Step 3: Cross multiply
    291.34x = 401.63 × 208.31
  4. Step 4: Simplify right side
    291.34x = 83,663.55
  5. Step 5: Solve for x
    x = 83,663.55/291.34
  6. Step 6: Final answer
    x = 287.17

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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.