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Finding the Fourth Proportional to 705.96, 1,058.94 and 219.06

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Solution

The fourth proportional to 705.96, 1,058.94 and 219.06 is: 328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 1,058.94 = 219.06 : x
  2. Step 2: Convert to fraction form
    705.96/1,058.94 = 219.06/x
  3. Step 3: Cross multiply
    705.96x = 1,058.94 × 219.06
  4. Step 4: Simplify right side
    705.96x = 231,971.40
  5. Step 5: Solve for x
    x = 231,971.40/705.96
  6. Step 6: Final answer
    x = 328.59

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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.