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Finding the Fourth Proportional to 333.14, 459.86 and 208.85

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Solution

The fourth proportional to 333.14, 459.86 and 208.85 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 459.86 = 208.85 : x
  2. Step 2: Convert to fraction form
    333.14/459.86 = 208.85/x
  3. Step 3: Cross multiply
    333.14x = 459.86 × 208.85
  4. Step 4: Simplify right side
    333.14x = 96,038.42
  5. Step 5: Solve for x
    x = 96,038.42/333.14
  6. Step 6: Final answer
    x = 288.29

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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.