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Finding the Fourth Proportional to 550.10, 759.76 and 427.24

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Solution

The fourth proportional to 550.10, 759.76 and 427.24 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.10 : 759.76 = 427.24 : x
  2. Step 2: Convert to fraction form
    550.10/759.76 = 427.24/x
  3. Step 3: Cross multiply
    550.10x = 759.76 × 427.24
  4. Step 4: Simplify right side
    550.10x = 324,599.86
  5. Step 5: Solve for x
    x = 324,599.86/550.10
  6. Step 6: Final answer
    x = 590.07

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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.