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Finding the Fourth Proportional to 605.38, 906.99 and 312.52

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Solution

The fourth proportional to 605.38, 906.99 and 312.52 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 906.99 = 312.52 : x
  2. Step 2: Convert to fraction form
    605.38/906.99 = 312.52/x
  3. Step 3: Cross multiply
    605.38x = 906.99 × 312.52
  4. Step 4: Simplify right side
    605.38x = 283,452.51
  5. Step 5: Solve for x
    x = 283,452.51/605.38
  6. Step 6: Final answer
    x = 468.22

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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.