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Finding the Fourth Proportional to 705.54, 1,058.46 and 272.82

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Solution

The fourth proportional to 705.54, 1,058.46 and 272.82 is: 409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.54 : 1,058.46 = 272.82 : x
  2. Step 2: Convert to fraction form
    705.54/1,058.46 = 272.82/x
  3. Step 3: Cross multiply
    705.54x = 1,058.46 × 272.82
  4. Step 4: Simplify right side
    705.54x = 288,769.06
  5. Step 5: Solve for x
    x = 288,769.06/705.54
  6. Step 6: Final answer
    x = 409.29

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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.