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Finding the Fourth Proportional to 609.66, 840.24 and 434.70

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Solution

The fourth proportional to 609.66, 840.24 and 434.70 is: 599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.66 : 840.24 = 434.70 : x
  2. Step 2: Convert to fraction form
    609.66/840.24 = 434.70/x
  3. Step 3: Cross multiply
    609.66x = 840.24 × 434.70
  4. Step 4: Simplify right side
    609.66x = 365,252.33
  5. Step 5: Solve for x
    x = 365,252.33/609.66
  6. Step 6: Final answer
    x = 599.11

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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.