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Finding the Fourth Proportional to 446.82, 616.93 and 289.53

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Solution

The fourth proportional to 446.82, 616.93 and 289.53 is: 399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.82 : 616.93 = 289.53 : x
  2. Step 2: Convert to fraction form
    446.82/616.93 = 289.53/x
  3. Step 3: Cross multiply
    446.82x = 616.93 × 289.53
  4. Step 4: Simplify right side
    446.82x = 178,619.02
  5. Step 5: Solve for x
    x = 178,619.02/446.82
  6. Step 6: Final answer
    x = 399.76

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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.