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Finding the Fourth Proportional to 604.73, 906.91 and 312.20

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Solution

The fourth proportional to 604.73, 906.91 and 312.20 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.73 : 906.91 = 312.20 : x
  2. Step 2: Convert to fraction form
    604.73/906.91 = 312.20/x
  3. Step 3: Cross multiply
    604.73x = 906.91 × 312.20
  4. Step 4: Simplify right side
    604.73x = 283,131.99
  5. Step 5: Solve for x
    x = 283,131.99/604.73
  6. Step 6: Final answer
    x = 468.19

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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.