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Finding the Fourth Proportional to 561.09, 774.41 and 340.23

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Solution

The fourth proportional to 561.09, 774.41 and 340.23 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 774.41 = 340.23 : x
  2. Step 2: Convert to fraction form
    561.09/774.41 = 340.23/x
  3. Step 3: Cross multiply
    561.09x = 774.41 × 340.23
  4. Step 4: Simplify right side
    561.09x = 263,477.51
  5. Step 5: Solve for x
    x = 263,477.51/561.09
  6. Step 6: Final answer
    x = 469.58

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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.