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Finding the Fourth Proportional to 705.60, 1,058.42 and 243.40

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Solution

The fourth proportional to 705.60, 1,058.42 and 243.40 is: 365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,058.42 = 243.40 : x
  2. Step 2: Convert to fraction form
    705.60/1,058.42 = 243.40/x
  3. Step 3: Cross multiply
    705.60x = 1,058.42 × 243.40
  4. Step 4: Simplify right side
    705.60x = 257,619.43
  5. Step 5: Solve for x
    x = 257,619.43/705.60
  6. Step 6: Final answer
    x = 365.11

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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.