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Finding the Fourth Proportional to 705.65, 1,058.68 and 294.97

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Solution

The fourth proportional to 705.65, 1,058.68 and 294.97 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.65 : 1,058.68 = 294.97 : x
  2. Step 2: Convert to fraction form
    705.65/1,058.68 = 294.97/x
  3. Step 3: Cross multiply
    705.65x = 1,058.68 × 294.97
  4. Step 4: Simplify right side
    705.65x = 312,277.36
  5. Step 5: Solve for x
    x = 312,277.36/705.65
  6. Step 6: Final answer
    x = 442.54

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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.