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Finding the Fourth Proportional to 705.73, 1,058.82 and 340.32

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Solution

The fourth proportional to 705.73, 1,058.82 and 340.32 is: 510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.73 : 1,058.82 = 340.32 : x
  2. Step 2: Convert to fraction form
    705.73/1,058.82 = 340.32/x
  3. Step 3: Cross multiply
    705.73x = 1,058.82 × 340.32
  4. Step 4: Simplify right side
    705.73x = 360,337.62
  5. Step 5: Solve for x
    x = 360,337.62/705.73
  6. Step 6: Final answer
    x = 510.59

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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.