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Finding the Fourth Proportional to 609.94, 915.26 and 563.50

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Solution

The fourth proportional to 609.94, 915.26 and 563.50 is: 845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.94 : 915.26 = 563.50 : x
  2. Step 2: Convert to fraction form
    609.94/915.26 = 563.50/x
  3. Step 3: Cross multiply
    609.94x = 915.26 × 563.50
  4. Step 4: Simplify right side
    609.94x = 515,749.01
  5. Step 5: Solve for x
    x = 515,749.01/609.94
  6. Step 6: Final answer
    x = 845.57

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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.