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Finding the Fourth Proportional to 446.69, 616.76 and 289.41

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Solution

The fourth proportional to 446.69, 616.76 and 289.41 is: 399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.69 : 616.76 = 289.41 : x
  2. Step 2: Convert to fraction form
    446.69/616.76 = 289.41/x
  3. Step 3: Cross multiply
    446.69x = 616.76 × 289.41
  4. Step 4: Simplify right side
    446.69x = 178,496.51
  5. Step 5: Solve for x
    x = 178,496.51/446.69
  6. Step 6: Final answer
    x = 399.60

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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.