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Finding the Fourth Proportional to 550.49, 759.10 and 472.07

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Solution

The fourth proportional to 550.49, 759.10 and 472.07 is: 650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.49 : 759.10 = 472.07 : x
  2. Step 2: Convert to fraction form
    550.49/759.10 = 472.07/x
  3. Step 3: Cross multiply
    550.49x = 759.10 × 472.07
  4. Step 4: Simplify right side
    550.49x = 358,348.34
  5. Step 5: Solve for x
    x = 358,348.34/550.49
  6. Step 6: Final answer
    x = 650.96

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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.