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Finding the Fourth Proportional to 561.33, 774.34 and 334.09

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Solution

The fourth proportional to 561.33, 774.34 and 334.09 is: 460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 774.34 = 334.09 : x
  2. Step 2: Convert to fraction form
    561.33/774.34 = 334.09/x
  3. Step 3: Cross multiply
    561.33x = 774.34 × 334.09
  4. Step 4: Simplify right side
    561.33x = 258,701.26
  5. Step 5: Solve for x
    x = 258,701.26/561.33
  6. Step 6: Final answer
    x = 460.87

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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.