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Finding the Fourth Proportional to 705.34, 1,058.07 and 353.82

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Solution

The fourth proportional to 705.34, 1,058.07 and 353.82 is: 530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.34 : 1,058.07 = 353.82 : x
  2. Step 2: Convert to fraction form
    705.34/1,058.07 = 353.82/x
  3. Step 3: Cross multiply
    705.34x = 1,058.07 × 353.82
  4. Step 4: Simplify right side
    705.34x = 374,366.33
  5. Step 5: Solve for x
    x = 374,366.33/705.34
  6. Step 6: Final answer
    x = 530.76

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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.