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Finding the Fourth Proportional to 446.74, 616.80 and 278.75

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Solution

The fourth proportional to 446.74, 616.80 and 278.75 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.74 : 616.80 = 278.75 : x
  2. Step 2: Convert to fraction form
    446.74/616.80 = 278.75/x
  3. Step 3: Cross multiply
    446.74x = 616.80 × 278.75
  4. Step 4: Simplify right side
    446.74x = 171,933.50
  5. Step 5: Solve for x
    x = 171,933.50/446.74
  6. Step 6: Final answer
    x = 384.87

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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.