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Finding the Fourth Proportional to 604.07, 906.23 and 193.20

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Solution

The fourth proportional to 604.07, 906.23 and 193.20 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.07 : 906.23 = 193.20 : x
  2. Step 2: Convert to fraction form
    604.07/906.23 = 193.20/x
  3. Step 3: Cross multiply
    604.07x = 906.23 × 193.20
  4. Step 4: Simplify right side
    604.07x = 175,083.64
  5. Step 5: Solve for x
    x = 175,083.64/604.07
  6. Step 6: Final answer
    x = 289.84

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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.