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Finding the Fourth Proportional to 705.69, 973.72 and 443.56

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Solution

The fourth proportional to 705.69, 973.72 and 443.56 is: 612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 973.72 = 443.56 : x
  2. Step 2: Convert to fraction form
    705.69/973.72 = 443.56/x
  3. Step 3: Cross multiply
    705.69x = 973.72 × 443.56
  4. Step 4: Simplify right side
    705.69x = 431,896.16
  5. Step 5: Solve for x
    x = 431,896.16/705.69
  6. Step 6: Final answer
    x = 612.02

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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.