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Finding the Fourth Proportional to 705.93, 1,058.77 and 294.96

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Solution

The fourth proportional to 705.93, 1,058.77 and 294.96 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 1,058.77 = 294.96 : x
  2. Step 2: Convert to fraction form
    705.93/1,058.77 = 294.96/x
  3. Step 3: Cross multiply
    705.93x = 1,058.77 × 294.96
  4. Step 4: Simplify right side
    705.93x = 312,289.35
  5. Step 5: Solve for x
    x = 312,289.35/705.93
  6. Step 6: Final answer
    x = 442.38

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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.