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Finding the Fourth Proportional to 333.79, 500.23 and 211.84

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Solution

The fourth proportional to 333.79, 500.23 and 211.84 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.79 : 500.23 = 211.84 : x
  2. Step 2: Convert to fraction form
    333.79/500.23 = 211.84/x
  3. Step 3: Cross multiply
    333.79x = 500.23 × 211.84
  4. Step 4: Simplify right side
    333.79x = 105,966.22
  5. Step 5: Solve for x
    x = 105,966.22/333.79
  6. Step 6: Final answer
    x = 317.46

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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.