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Finding the Fourth Proportional to 721.23, 994.77 and 441.24

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Solution

The fourth proportional to 721.23, 994.77 and 441.24 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.23 : 994.77 = 441.24 : x
  2. Step 2: Convert to fraction form
    721.23/994.77 = 441.24/x
  3. Step 3: Cross multiply
    721.23x = 994.77 × 441.24
  4. Step 4: Simplify right side
    721.23x = 438,932.31
  5. Step 5: Solve for x
    x = 438,932.31/721.23
  6. Step 6: Final answer
    x = 608.59

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1.5x scale

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.