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Finding the Fourth Proportional to 333.05, 459.58 and 206.96

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Solution

The fourth proportional to 333.05, 459.58 and 206.96 is: 285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.05 : 459.58 = 206.96 : x
  2. Step 2: Convert to fraction form
    333.05/459.58 = 206.96/x
  3. Step 3: Cross multiply
    333.05x = 459.58 × 206.96
  4. Step 4: Simplify right side
    333.05x = 95,111.86
  5. Step 5: Solve for x
    x = 95,111.86/333.05
  6. Step 6: Final answer
    x = 285.58

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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.