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Finding the Fourth Proportional to 426.63, 589.64 and 340.23

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Solution

The fourth proportional to 426.63, 589.64 and 340.23 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.63 : 589.64 = 340.23 : x
  2. Step 2: Convert to fraction form
    426.63/589.64 = 340.23/x
  3. Step 3: Cross multiply
    426.63x = 589.64 × 340.23
  4. Step 4: Simplify right side
    426.63x = 200,611.52
  5. Step 5: Solve for x
    x = 200,611.52/426.63
  6. Step 6: Final answer
    x = 470.22

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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.