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Finding the Fourth Proportional to 423.07, 584.39 and 340.49

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Solution

The fourth proportional to 423.07, 584.39 and 340.49 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 584.39 = 340.49 : x
  2. Step 2: Convert to fraction form
    423.07/584.39 = 340.49/x
  3. Step 3: Cross multiply
    423.07x = 584.39 × 340.49
  4. Step 4: Simplify right side
    423.07x = 198,977.98
  5. Step 5: Solve for x
    x = 198,977.98/423.07
  6. Step 6: Final answer
    x = 470.32

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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.