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Finding the Fourth Proportional to 705.42, 1,058.19 and 416.25

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Solution

The fourth proportional to 705.42, 1,058.19 and 416.25 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 1,058.19 = 416.25 : x
  2. Step 2: Convert to fraction form
    705.42/1,058.19 = 416.25/x
  3. Step 3: Cross multiply
    705.42x = 1,058.19 × 416.25
  4. Step 4: Simplify right side
    705.42x = 440,471.59
  5. Step 5: Solve for x
    x = 440,471.59/705.42
  6. Step 6: Final answer
    x = 624.41

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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.