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Finding the Fourth Proportional to 306.15, 458.71 and 219.04

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Solution

The fourth proportional to 306.15, 458.71 and 219.04 is: 328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.15 : 458.71 = 219.04 : x
  2. Step 2: Convert to fraction form
    306.15/458.71 = 219.04/x
  3. Step 3: Cross multiply
    306.15x = 458.71 × 219.04
  4. Step 4: Simplify right side
    306.15x = 100,474.74
  5. Step 5: Solve for x
    x = 100,474.74/306.15
  6. Step 6: Final answer
    x = 328.19

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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.