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Finding the Fourth Proportional to 333.27, 459.75 and 207.21

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Solution

The fourth proportional to 333.27, 459.75 and 207.21 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.27 : 459.75 = 207.21 : x
  2. Step 2: Convert to fraction form
    333.27/459.75 = 207.21/x
  3. Step 3: Cross multiply
    333.27x = 459.75 × 207.21
  4. Step 4: Simplify right side
    333.27x = 95,264.80
  5. Step 5: Solve for x
    x = 95,264.80/333.27
  6. Step 6: Final answer
    x = 285.85

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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.