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Finding the Fourth Proportional to 560.44, 839.83 and 406.69

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Solution

The fourth proportional to 560.44, 839.83 and 406.69 is: 609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.44 : 839.83 = 406.69 : x
  2. Step 2: Convert to fraction form
    560.44/839.83 = 406.69/x
  3. Step 3: Cross multiply
    560.44x = 839.83 × 406.69
  4. Step 4: Simplify right side
    560.44x = 341,550.46
  5. Step 5: Solve for x
    x = 341,550.46/560.44
  6. Step 6: Final answer
    x = 609.43

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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.