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Finding the Fourth Proportional to 705.89, 1,058.90 and 219.01

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Solution

The fourth proportional to 705.89, 1,058.90 and 219.01 is: 328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 1,058.90 = 219.01 : x
  2. Step 2: Convert to fraction form
    705.89/1,058.90 = 219.01/x
  3. Step 3: Cross multiply
    705.89x = 1,058.90 × 219.01
  4. Step 4: Simplify right side
    705.89x = 231,909.69
  5. Step 5: Solve for x
    x = 231,909.69/705.89
  6. Step 6: Final answer
    x = 328.54

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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.