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Finding the Fourth Proportional to 705.34, 1,058.08 and 294.20

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Solution

The fourth proportional to 705.34, 1,058.08 and 294.20 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 1,058.08 = 294.20 : x
  2. Step 2: Convert to fraction form
    705.34/1,058.08 = 294.20/x
  3. Step 3: Cross multiply
    705.34x = 1,058.08 × 294.20
  4. Step 4: Simplify right side
    705.34x = 311,287.14
  5. Step 5: Solve for x
    x = 311,287.14/705.34
  6. Step 6: Final answer
    x = 441.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.