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Finding the Fourth Proportional to 609.36, 840.75 and 360.57

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Solution

The fourth proportional to 609.36, 840.75 and 360.57 is: 497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.36 : 840.75 = 360.57 : x
  2. Step 2: Convert to fraction form
    609.36/840.75 = 360.57/x
  3. Step 3: Cross multiply
    609.36x = 840.75 × 360.57
  4. Step 4: Simplify right side
    609.36x = 303,149.23
  5. Step 5: Solve for x
    x = 303,149.23/609.36
  6. Step 6: Final answer
    x = 497.49

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1.5x scale

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.