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Finding the Fourth Proportional to 467.07, 699.94 and 363.89

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Solution

The fourth proportional to 467.07, 699.94 and 363.89 is: 545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 699.94 = 363.89 : x
  2. Step 2: Convert to fraction form
    467.07/699.94 = 363.89/x
  3. Step 3: Cross multiply
    467.07x = 699.94 × 363.89
  4. Step 4: Simplify right side
    467.07x = 254,703.37
  5. Step 5: Solve for x
    x = 254,703.37/467.07
  6. Step 6: Final answer
    x = 545.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.