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Finding the Fourth Proportional to 604.80, 833.76 and 550.08

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Solution

The fourth proportional to 604.80, 833.76 and 550.08 is: 758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.80 : 833.76 = 550.08 : x
  2. Step 2: Convert to fraction form
    604.80/833.76 = 550.08/x
  3. Step 3: Cross multiply
    604.80x = 833.76 × 550.08
  4. Step 4: Simplify right side
    604.80x = 458,634.70
  5. Step 5: Solve for x
    x = 458,634.70/604.80
  6. Step 6: Final answer
    x = 758.32

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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.