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Finding the Fourth Proportional to 706, 1,059 and 295.24

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Solution

The fourth proportional to 706, 1,059 and 295.24 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 1,059 = 295.24 : x
  2. Step 2: Convert to fraction form
    706/1,059 = 295.24/x
  3. Step 3: Cross multiply
    706x = 1,059 × 295.24
  4. Step 4: Simplify right side
    706x = 312,659.16
  5. Step 5: Solve for x
    x = 312,659.16/706
  6. Step 6: Final answer
    x = 442.86

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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.