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Finding the Fourth Proportional to 705.69, 1,058.57 and 272.84

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Solution

The fourth proportional to 705.69, 1,058.57 and 272.84 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 1,058.57 = 272.84 : x
  2. Step 2: Convert to fraction form
    705.69/1,058.57 = 272.84/x
  3. Step 3: Cross multiply
    705.69x = 1,058.57 × 272.84
  4. Step 4: Simplify right side
    705.69x = 288,813.58
  5. Step 5: Solve for x
    x = 288,813.58/705.69
  6. Step 6: Final answer
    x = 409.26

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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.