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Finding the Fourth Proportional to 380.24, 570.34 and 219.06

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Solution

The fourth proportional to 380.24, 570.34 and 219.06 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.24 : 570.34 = 219.06 : x
  2. Step 2: Convert to fraction form
    380.24/570.34 = 219.06/x
  3. Step 3: Cross multiply
    380.24x = 570.34 × 219.06
  4. Step 4: Simplify right side
    380.24x = 124,938.68
  5. Step 5: Solve for x
    x = 124,938.68/380.24
  6. Step 6: Final answer
    x = 328.58

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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.