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Finding the Fourth Proportional to 605.86, 909.72 and 580.90

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Solution

The fourth proportional to 605.86, 909.72 and 580.90 is: 872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.86 : 909.72 = 580.90 : x
  2. Step 2: Convert to fraction form
    605.86/909.72 = 580.90/x
  3. Step 3: Cross multiply
    605.86x = 909.72 × 580.90
  4. Step 4: Simplify right side
    605.86x = 528,456.35
  5. Step 5: Solve for x
    x = 528,456.35/605.86
  6. Step 6: Final answer
    x = 872.24

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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.