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Finding the Fourth Proportional to 609.28, 840.64 and 360.64

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Solution

The fourth proportional to 609.28, 840.64 and 360.64 is: 497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.28 : 840.64 = 360.64 : x
  2. Step 2: Convert to fraction form
    609.28/840.64 = 360.64/x
  3. Step 3: Cross multiply
    609.28x = 840.64 × 360.64
  4. Step 4: Simplify right side
    609.28x = 303,168.41
  5. Step 5: Solve for x
    x = 303,168.41/609.28
  6. Step 6: Final answer
    x = 497.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.