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Finding the Fourth Proportional to 561.29, 774.42 and 340.09

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Solution

The fourth proportional to 561.29, 774.42 and 340.09 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.29 : 774.42 = 340.09 : x
  2. Step 2: Convert to fraction form
    561.29/774.42 = 340.09/x
  3. Step 3: Cross multiply
    561.29x = 774.42 × 340.09
  4. Step 4: Simplify right side
    561.29x = 263,369.29
  5. Step 5: Solve for x
    x = 263,369.29/561.29
  6. Step 6: Final answer
    x = 469.23

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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.