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Finding the Fourth Proportional to 550.34, 759.45 and 301.65

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Solution

The fourth proportional to 550.34, 759.45 and 301.65 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.34 : 759.45 = 301.65 : x
  2. Step 2: Convert to fraction form
    550.34/759.45 = 301.65/x
  3. Step 3: Cross multiply
    550.34x = 759.45 × 301.65
  4. Step 4: Simplify right side
    550.34x = 229,088.09
  5. Step 5: Solve for x
    x = 229,088.09/550.34
  6. Step 6: Final answer
    x = 416.27

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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.