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Finding the Fourth Proportional to 423.69, 584.64 and 246.60

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Solution

The fourth proportional to 423.69, 584.64 and 246.60 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.69 : 584.64 = 246.60 : x
  2. Step 2: Convert to fraction form
    423.69/584.64 = 246.60/x
  3. Step 3: Cross multiply
    423.69x = 584.64 × 246.60
  4. Step 4: Simplify right side
    423.69x = 144,172.22
  5. Step 5: Solve for x
    x = 144,172.22/423.69
  6. Step 6: Final answer
    x = 340.28

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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.