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Finding the Fourth Proportional to 705.31, 1,057.25 and 294.69

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Solution

The fourth proportional to 705.31, 1,057.25 and 294.69 is: 441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.31 : 1,057.25 = 294.69 : x
  2. Step 2: Convert to fraction form
    705.31/1,057.25 = 294.69/x
  3. Step 3: Cross multiply
    705.31x = 1,057.25 × 294.69
  4. Step 4: Simplify right side
    705.31x = 311,561.00
  5. Step 5: Solve for x
    x = 311,561.00/705.31
  6. Step 6: Final answer
    x = 441.74

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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.