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Finding the Fourth Proportional to 605.76, 906.90 and 452.40

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Solution

The fourth proportional to 605.76, 906.90 and 452.40 is: 677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 906.90 = 452.40 : x
  2. Step 2: Convert to fraction form
    605.76/906.90 = 452.40/x
  3. Step 3: Cross multiply
    605.76x = 906.90 × 452.40
  4. Step 4: Simplify right side
    605.76x = 410,281.56
  5. Step 5: Solve for x
    x = 410,281.56/605.76
  6. Step 6: Final answer
    x = 677.30

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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.