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Finding the Fourth Proportional to 550.48, 759.75 and 314.44

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Solution

The fourth proportional to 550.48, 759.75 and 314.44 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 759.75 = 314.44 : x
  2. Step 2: Convert to fraction form
    550.48/759.75 = 314.44/x
  3. Step 3: Cross multiply
    550.48x = 759.75 × 314.44
  4. Step 4: Simplify right side
    550.48x = 238,895.79
  5. Step 5: Solve for x
    x = 238,895.79/550.48
  6. Step 6: Final answer
    x = 433.98

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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.