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Finding the Fourth Proportional to 322.90, 484.41 and 208.06

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Solution

The fourth proportional to 322.90, 484.41 and 208.06 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 484.41 = 208.06 : x
  2. Step 2: Convert to fraction form
    322.90/484.41 = 208.06/x
  3. Step 3: Cross multiply
    322.90x = 484.41 × 208.06
  4. Step 4: Simplify right side
    322.90x = 100,785.91
  5. Step 5: Solve for x
    x = 100,785.91/322.90
  6. Step 6: Final answer
    x = 312.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.