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Finding the Fourth Proportional to 609.35, 840.99 and 400.13

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Solution

The fourth proportional to 609.35, 840.99 and 400.13 is: 552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.35 : 840.99 = 400.13 : x
  2. Step 2: Convert to fraction form
    609.35/840.99 = 400.13/x
  3. Step 3: Cross multiply
    609.35x = 840.99 × 400.13
  4. Step 4: Simplify right side
    609.35x = 336,506.96
  5. Step 5: Solve for x
    x = 336,506.96/609.35
  6. Step 6: Final answer
    x = 552.24

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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.