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Finding the Fourth Proportional to 705.20, 1,057.84 and 314.80

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Solution

The fourth proportional to 705.20, 1,057.84 and 314.80 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,057.84 = 314.80 : x
  2. Step 2: Convert to fraction form
    705.20/1,057.84 = 314.80/x
  3. Step 3: Cross multiply
    705.20x = 1,057.84 × 314.80
  4. Step 4: Simplify right side
    705.20x = 333,008.03
  5. Step 5: Solve for x
    x = 333,008.03/705.20
  6. Step 6: Final answer
    x = 472.22

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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.