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Finding the Fourth Proportional to 705.57, 1,058.44 and 243.42

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Solution

The fourth proportional to 705.57, 1,058.44 and 243.42 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.57 : 1,058.44 = 243.42 : x
  2. Step 2: Convert to fraction form
    705.57/1,058.44 = 243.42/x
  3. Step 3: Cross multiply
    705.57x = 1,058.44 × 243.42
  4. Step 4: Simplify right side
    705.57x = 257,645.46
  5. Step 5: Solve for x
    x = 257,645.46/705.57
  6. Step 6: Final answer
    x = 365.16

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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.