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Finding the Fourth Proportional to 604.16, 906.36 and 214.16

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Solution

The fourth proportional to 604.16, 906.36 and 214.16 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.16 : 906.36 = 214.16 : x
  2. Step 2: Convert to fraction form
    604.16/906.36 = 214.16/x
  3. Step 3: Cross multiply
    604.16x = 906.36 × 214.16
  4. Step 4: Simplify right side
    604.16x = 194,106.06
  5. Step 5: Solve for x
    x = 194,106.06/604.16
  6. Step 6: Final answer
    x = 321.28

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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.