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Finding the Fourth Proportional to 705.82, 1,058.13 and 273.28

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Solution

The fourth proportional to 705.82, 1,058.13 and 273.28 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.82 : 1,058.13 = 273.28 : x
  2. Step 2: Convert to fraction form
    705.82/1,058.13 = 273.28/x
  3. Step 3: Cross multiply
    705.82x = 1,058.13 × 273.28
  4. Step 4: Simplify right side
    705.82x = 289,165.77
  5. Step 5: Solve for x
    x = 289,165.77/705.82
  6. Step 6: Final answer
    x = 409.69

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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.