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Finding the Fourth Proportional to 561.49, 774.63 and 340.36

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Solution

The fourth proportional to 561.49, 774.63 and 340.36 is: 469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 774.63 = 340.36 : x
  2. Step 2: Convert to fraction form
    561.49/774.63 = 340.36/x
  3. Step 3: Cross multiply
    561.49x = 774.63 × 340.36
  4. Step 4: Simplify right side
    561.49x = 263,653.07
  5. Step 5: Solve for x
    x = 263,653.07/561.49
  6. Step 6: Final answer
    x = 469.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.