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Finding the Fourth Proportional to 604.24, 906.14 and 214.18

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Solution

The fourth proportional to 604.24, 906.14 and 214.18 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 906.14 = 214.18 : x
  2. Step 2: Convert to fraction form
    604.24/906.14 = 214.18/x
  3. Step 3: Cross multiply
    604.24x = 906.14 × 214.18
  4. Step 4: Simplify right side
    604.24x = 194,077.07
  5. Step 5: Solve for x
    x = 194,077.07/604.24
  6. Step 6: Final answer
    x = 321.19

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