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Finding the Fourth Proportional to 291.28, 401.52 and 208.24

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Solution

The fourth proportional to 291.28, 401.52 and 208.24 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.28 : 401.52 = 208.24 : x
  2. Step 2: Convert to fraction form
    291.28/401.52 = 208.24/x
  3. Step 3: Cross multiply
    291.28x = 401.52 × 208.24
  4. Step 4: Simplify right side
    291.28x = 83,612.52
  5. Step 5: Solve for x
    x = 83,612.52/291.28
  6. Step 6: Final answer
    x = 287.05

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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.