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Finding the Fourth Proportional to 605.10, 906.30 and 467.40

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Solution

The fourth proportional to 605.10, 906.30 and 467.40 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 906.30 = 467.40 : x
  2. Step 2: Convert to fraction form
    605.10/906.30 = 467.40/x
  3. Step 3: Cross multiply
    605.10x = 906.30 × 467.40
  4. Step 4: Simplify right side
    605.10x = 423,604.62
  5. Step 5: Solve for x
    x = 423,604.62/605.10
  6. Step 6: Final answer
    x = 700.06

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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.