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Finding the Fourth Proportional to 609.48, 840.90 and 360.71

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Solution

The fourth proportional to 609.48, 840.90 and 360.71 is: 497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.48 : 840.90 = 360.71 : x
  2. Step 2: Convert to fraction form
    609.48/840.90 = 360.71/x
  3. Step 3: Cross multiply
    609.48x = 840.90 × 360.71
  4. Step 4: Simplify right side
    609.48x = 303,316.83
  5. Step 5: Solve for x
    x = 303,316.83/609.48
  6. Step 6: Final answer
    x = 497.66

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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.