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Finding the Fourth Proportional to 372.84, 559.07 and 219.07

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Solution

The fourth proportional to 372.84, 559.07 and 219.07 is: 328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 559.07 = 219.07 : x
  2. Step 2: Convert to fraction form
    372.84/559.07 = 219.07/x
  3. Step 3: Cross multiply
    372.84x = 559.07 × 219.07
  4. Step 4: Simplify right side
    372.84x = 122,472.33
  5. Step 5: Solve for x
    x = 122,472.33/372.84
  6. Step 6: Final answer
    x = 328.49

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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.