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Finding the Fourth Proportional to 604.86, 907.22 and 194.29

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Solution

The fourth proportional to 604.86, 907.22 and 194.29 is: 291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 907.22 = 194.29 : x
  2. Step 2: Convert to fraction form
    604.86/907.22 = 194.29/x
  3. Step 3: Cross multiply
    604.86x = 907.22 × 194.29
  4. Step 4: Simplify right side
    604.86x = 176,258.75
  5. Step 5: Solve for x
    x = 176,258.75/604.86
  6. Step 6: Final answer
    x = 291.41

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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.