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Finding the Fourth Proportional to 446.24, 616.10 and 288.94

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Solution

The fourth proportional to 446.24, 616.10 and 288.94 is: 398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.24 : 616.10 = 288.94 : x
  2. Step 2: Convert to fraction form
    446.24/616.10 = 288.94/x
  3. Step 3: Cross multiply
    446.24x = 616.10 × 288.94
  4. Step 4: Simplify right side
    446.24x = 178,015.93
  5. Step 5: Solve for x
    x = 178,015.93/446.24
  6. Step 6: Final answer
    x = 398.92

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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.