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Finding the Fourth Proportional to 604.54, 906.81 and 214.45

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Solution

The fourth proportional to 604.54, 906.81 and 214.45 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.54 : 906.81 = 214.45 : x
  2. Step 2: Convert to fraction form
    604.54/906.81 = 214.45/x
  3. Step 3: Cross multiply
    604.54x = 906.81 × 214.45
  4. Step 4: Simplify right side
    604.54x = 194,465.40
  5. Step 5: Solve for x
    x = 194,465.40/604.54
  6. Step 6: Final answer
    x = 321.68

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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.