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Finding the Fourth Proportional to 609.19, 840.41 and 360.34

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Solution

The fourth proportional to 609.19, 840.41 and 360.34 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.19 : 840.41 = 360.34 : x
  2. Step 2: Convert to fraction form
    609.19/840.41 = 360.34/x
  3. Step 3: Cross multiply
    609.19x = 840.41 × 360.34
  4. Step 4: Simplify right side
    609.19x = 302,827.34
  5. Step 5: Solve for x
    x = 302,827.34/609.19
  6. Step 6: Final answer
    x = 497.10

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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.