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Finding the Fourth Proportional to 706.12, 1,059.32 and 219.16

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Solution

The fourth proportional to 706.12, 1,059.32 and 219.16 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 1,059.32 = 219.16 : x
  2. Step 2: Convert to fraction form
    706.12/1,059.32 = 219.16/x
  3. Step 3: Cross multiply
    706.12x = 1,059.32 × 219.16
  4. Step 4: Simplify right side
    706.12x = 232,160.57
  5. Step 5: Solve for x
    x = 232,160.57/706.12
  6. Step 6: Final answer
    x = 328.78

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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.