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Finding the Fourth Proportional to 604.24, 906.45 and 193.39

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Solution

The fourth proportional to 604.24, 906.45 and 193.39 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 906.45 = 193.39 : x
  2. Step 2: Convert to fraction form
    604.24/906.45 = 193.39/x
  3. Step 3: Cross multiply
    604.24x = 906.45 × 193.39
  4. Step 4: Simplify right side
    604.24x = 175,298.37
  5. Step 5: Solve for x
    x = 175,298.37/604.24
  6. Step 6: Final answer
    x = 290.11

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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.