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Finding the Fourth Proportional to 550.17, 759.47 and 340.34

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Solution

The fourth proportional to 550.17, 759.47 and 340.34 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 759.47 = 340.34 : x
  2. Step 2: Convert to fraction form
    550.17/759.47 = 340.34/x
  3. Step 3: Cross multiply
    550.17x = 759.47 × 340.34
  4. Step 4: Simplify right side
    550.17x = 258,472.52
  5. Step 5: Solve for x
    x = 258,472.52/550.17
  6. Step 6: Final answer
    x = 469.80

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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.