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Finding the Fourth Proportional to 604.70, 906.59 and 193.60

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Solution

The fourth proportional to 604.70, 906.59 and 193.60 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.70 : 906.59 = 193.60 : x
  2. Step 2: Convert to fraction form
    604.70/906.59 = 193.60/x
  3. Step 3: Cross multiply
    604.70x = 906.59 × 193.60
  4. Step 4: Simplify right side
    604.70x = 175,514.86
  5. Step 5: Solve for x
    x = 175,514.86/604.70
  6. Step 6: Final answer
    x = 290.25

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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.