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Finding the Fourth Proportional to 604.75, 907.13 and 220.09

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Solution

The fourth proportional to 604.75, 907.13 and 220.09 is: 330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.75 : 907.13 = 220.09 : x
  2. Step 2: Convert to fraction form
    604.75/907.13 = 220.09/x
  3. Step 3: Cross multiply
    604.75x = 907.13 × 220.09
  4. Step 4: Simplify right side
    604.75x = 199,649.14
  5. Step 5: Solve for x
    x = 199,649.14/604.75
  6. Step 6: Final answer
    x = 330.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.