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Finding the Fourth Proportional to 446.53, 616.04 and 278.40

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Solution

The fourth proportional to 446.53, 616.04 and 278.40 is: 384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.53 : 616.04 = 278.40 : x
  2. Step 2: Convert to fraction form
    446.53/616.04 = 278.40/x
  3. Step 3: Cross multiply
    446.53x = 616.04 × 278.40
  4. Step 4: Simplify right side
    446.53x = 171,505.54
  5. Step 5: Solve for x
    x = 171,505.54/446.53
  6. Step 6: Final answer
    x = 384.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.