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Finding the Fourth Proportional to 705.43, 973.65 and 443.80

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Solution

The fourth proportional to 705.43, 973.65 and 443.80 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.43 : 973.65 = 443.80 : x
  2. Step 2: Convert to fraction form
    705.43/973.65 = 443.80/x
  3. Step 3: Cross multiply
    705.43x = 973.65 × 443.80
  4. Step 4: Simplify right side
    705.43x = 432,105.87
  5. Step 5: Solve for x
    x = 432,105.87/705.43
  6. Step 6: Final answer
    x = 612.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.