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Finding the Fourth Proportional to 705.64, 1,058.26 and 272.70

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Solution

The fourth proportional to 705.64, 1,058.26 and 272.70 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.64 : 1,058.26 = 272.70 : x
  2. Step 2: Convert to fraction form
    705.64/1,058.26 = 272.70/x
  3. Step 3: Cross multiply
    705.64x = 1,058.26 × 272.70
  4. Step 4: Simplify right side
    705.64x = 288,580.85
  5. Step 5: Solve for x
    x = 288,580.85/705.64
  6. Step 6: Final answer
    x = 408.96

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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.