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Finding the Fourth Proportional to 605.16, 906.14 and 490.04

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Solution

The fourth proportional to 605.16, 906.14 and 490.04 is: 733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 906.14 = 490.04 : x
  2. Step 2: Convert to fraction form
    605.16/906.14 = 490.04/x
  3. Step 3: Cross multiply
    605.16x = 906.14 × 490.04
  4. Step 4: Simplify right side
    605.16x = 444,048.34
  5. Step 5: Solve for x
    x = 444,048.34/605.16
  6. Step 6: Final answer
    x = 733.77

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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.