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Finding the Fourth Proportional to 705.82, 1,058.16 and 295.27

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Solution

The fourth proportional to 705.82, 1,058.16 and 295.27 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.82 : 1,058.16 = 295.27 : x
  2. Step 2: Convert to fraction form
    705.82/1,058.16 = 295.27/x
  3. Step 3: Cross multiply
    705.82x = 1,058.16 × 295.27
  4. Step 4: Simplify right side
    705.82x = 312,442.90
  5. Step 5: Solve for x
    x = 312,442.90/705.82
  6. Step 6: Final answer
    x = 442.67

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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.