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Finding the Fourth Proportional to 550.24, 759.35 and 314.23

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Solution

The fourth proportional to 550.24, 759.35 and 314.23 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.24 : 759.35 = 314.23 : x
  2. Step 2: Convert to fraction form
    550.24/759.35 = 314.23/x
  3. Step 3: Cross multiply
    550.24x = 759.35 × 314.23
  4. Step 4: Simplify right side
    550.24x = 238,610.55
  5. Step 5: Solve for x
    x = 238,610.55/550.24
  6. Step 6: Final answer
    x = 433.65

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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.