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Finding the Fourth Proportional to 557.48, 834.91 and 441.15

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Solution

The fourth proportional to 557.48, 834.91 and 441.15 is: 660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 834.91 = 441.15 : x
  2. Step 2: Convert to fraction form
    557.48/834.91 = 441.15/x
  3. Step 3: Cross multiply
    557.48x = 834.91 × 441.15
  4. Step 4: Simplify right side
    557.48x = 368,316.31
  5. Step 5: Solve for x
    x = 368,316.31/557.48
  6. Step 6: Final answer
    x = 660.68

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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.