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Finding the Fourth Proportional to 705.46, 1,058.15 and 243.46

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Solution

The fourth proportional to 705.46, 1,058.15 and 243.46 is: 365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 1,058.15 = 243.46 : x
  2. Step 2: Convert to fraction form
    705.46/1,058.15 = 243.46/x
  3. Step 3: Cross multiply
    705.46x = 1,058.15 × 243.46
  4. Step 4: Simplify right side
    705.46x = 257,615.98
  5. Step 5: Solve for x
    x = 257,615.98/705.46
  6. Step 6: Final answer
    x = 365.17

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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.