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Finding the Fourth Proportional to 557.51, 769.24 and 441.41

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Solution

The fourth proportional to 557.51, 769.24 and 441.41 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.51 : 769.24 = 441.41 : x
  2. Step 2: Convert to fraction form
    557.51/769.24 = 441.41/x
  3. Step 3: Cross multiply
    557.51x = 769.24 × 441.41
  4. Step 4: Simplify right side
    557.51x = 339,550.23
  5. Step 5: Solve for x
    x = 339,550.23/557.51
  6. Step 6: Final answer
    x = 609.05

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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.