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Finding the Fourth Proportional to 706.14, 1,059.20 and 273

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Solution

The fourth proportional to 706.14, 1,059.20 and 273 is: 409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.14 : 1,059.20 = 273 : x
  2. Step 2: Convert to fraction form
    706.14/1,059.20 = 273/x
  3. Step 3: Cross multiply
    706.14x = 1,059.20 × 273
  4. Step 4: Simplify right side
    706.14x = 289,160.24
  5. Step 5: Solve for x
    x = 289,160.24/706.14
  6. Step 6: Final answer
    x = 409.49

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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.