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Finding the Fourth Proportional to 605.18, 909.66 and 490.16

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Solution

The fourth proportional to 605.18, 909.66 and 490.16 is: 736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.18 : 909.66 = 490.16 : x
  2. Step 2: Convert to fraction form
    605.18/909.66 = 490.16/x
  3. Step 3: Cross multiply
    605.18x = 909.66 × 490.16
  4. Step 4: Simplify right side
    605.18x = 445,878.95
  5. Step 5: Solve for x
    x = 445,878.95/605.18
  6. Step 6: Final answer
    x = 736.77

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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.