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Finding the Fourth Proportional to 705.84, 1,058.14 and 273.30

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Solution

The fourth proportional to 705.84, 1,058.14 and 273.30 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,058.14 = 273.30 : x
  2. Step 2: Convert to fraction form
    705.84/1,058.14 = 273.30/x
  3. Step 3: Cross multiply
    705.84x = 1,058.14 × 273.30
  4. Step 4: Simplify right side
    705.84x = 289,189.66
  5. Step 5: Solve for x
    x = 289,189.66/705.84
  6. Step 6: Final answer
    x = 409.71

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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.