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Finding the Fourth Proportional to 604.45, 906.34 and 307.89

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Solution

The fourth proportional to 604.45, 906.34 and 307.89 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.45 : 906.34 = 307.89 : x
  2. Step 2: Convert to fraction form
    604.45/906.34 = 307.89/x
  3. Step 3: Cross multiply
    604.45x = 906.34 × 307.89
  4. Step 4: Simplify right side
    604.45x = 279,053.02
  5. Step 5: Solve for x
    x = 279,053.02/604.45
  6. Step 6: Final answer
    x = 461.66

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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.