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Finding the Fourth Proportional to 333.26, 459.72 and 208.94

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Solution

The fourth proportional to 333.26, 459.72 and 208.94 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.26 : 459.72 = 208.94 : x
  2. Step 2: Convert to fraction form
    333.26/459.72 = 208.94/x
  3. Step 3: Cross multiply
    333.26x = 459.72 × 208.94
  4. Step 4: Simplify right side
    333.26x = 96,053.90
  5. Step 5: Solve for x
    x = 96,053.90/333.26
  6. Step 6: Final answer
    x = 288.23

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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.