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Finding the Fourth Proportional to 333.65, 500.47 and 211.65

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Solution

The fourth proportional to 333.65, 500.47 and 211.65 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.65 : 500.47 = 211.65 : x
  2. Step 2: Convert to fraction form
    333.65/500.47 = 211.65/x
  3. Step 3: Cross multiply
    333.65x = 500.47 × 211.65
  4. Step 4: Simplify right side
    333.65x = 105,923.42
  5. Step 5: Solve for x
    x = 105,923.42/333.65
  6. Step 6: Final answer
    x = 317.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.