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Finding the Fourth Proportional to 705.16, 1,057.85 and 218.21

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Solution

The fourth proportional to 705.16, 1,057.85 and 218.21 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 1,057.85 = 218.21 : x
  2. Step 2: Convert to fraction form
    705.16/1,057.85 = 218.21/x
  3. Step 3: Cross multiply
    705.16x = 1,057.85 × 218.21
  4. Step 4: Simplify right side
    705.16x = 230,827.07
  5. Step 5: Solve for x
    x = 230,827.07/705.16
  6. Step 6: Final answer
    x = 327.34

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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.