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Finding the Fourth Proportional to 333.28, 460.02 and 208.90

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Solution

The fourth proportional to 333.28, 460.02 and 208.90 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.28 : 460.02 = 208.90 : x
  2. Step 2: Convert to fraction form
    333.28/460.02 = 208.90/x
  3. Step 3: Cross multiply
    333.28x = 460.02 × 208.90
  4. Step 4: Simplify right side
    333.28x = 96,098.18
  5. Step 5: Solve for x
    x = 96,098.18/333.28
  6. Step 6: Final answer
    x = 288.34

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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.