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Finding the Fourth Proportional to 604.58, 906.30 and 495.14

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Solution

The fourth proportional to 604.58, 906.30 and 495.14 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.58 : 906.30 = 495.14 : x
  2. Step 2: Convert to fraction form
    604.58/906.30 = 495.14/x
  3. Step 3: Cross multiply
    604.58x = 906.30 × 495.14
  4. Step 4: Simplify right side
    604.58x = 448,745.38
  5. Step 5: Solve for x
    x = 448,745.38/604.58
  6. Step 6: Final answer
    x = 742.24

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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.