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Finding the Fourth Proportional to 333.99, 500.90 and 219.06

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Solution

The fourth proportional to 333.99, 500.90 and 219.06 is: 328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.99 : 500.90 = 219.06 : x
  2. Step 2: Convert to fraction form
    333.99/500.90 = 219.06/x
  3. Step 3: Cross multiply
    333.99x = 500.90 × 219.06
  4. Step 4: Simplify right side
    333.99x = 109,726.06
  5. Step 5: Solve for x
    x = 109,726.06/333.99
  6. Step 6: Final answer
    x = 328.53

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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.