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Finding the Fourth Proportional to 561.19, 840.75 and 406.73

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Solution

The fourth proportional to 561.19, 840.75 and 406.73 is: 609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.19 : 840.75 = 406.73 : x
  2. Step 2: Convert to fraction form
    561.19/840.75 = 406.73/x
  3. Step 3: Cross multiply
    561.19x = 840.75 × 406.73
  4. Step 4: Simplify right side
    561.19x = 341,958.25
  5. Step 5: Solve for x
    x = 341,958.25/561.19
  6. Step 6: Final answer
    x = 609.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.