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Finding the Fourth Proportional to 333.64, 500.40 and 211.54

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Solution

The fourth proportional to 333.64, 500.40 and 211.54 is: 317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.64 : 500.40 = 211.54 : x
  2. Step 2: Convert to fraction form
    333.64/500.40 = 211.54/x
  3. Step 3: Cross multiply
    333.64x = 500.40 × 211.54
  4. Step 4: Simplify right side
    333.64x = 105,854.62
  5. Step 5: Solve for x
    x = 105,854.62/333.64
  6. Step 6: Final answer
    x = 317.27

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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.