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Finding the Fourth Proportional to 416.28, 623.55 and 278.88

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Solution

The fourth proportional to 416.28, 623.55 and 278.88 is: 417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 623.55 = 278.88 : x
  2. Step 2: Convert to fraction form
    416.28/623.55 = 278.88/x
  3. Step 3: Cross multiply
    416.28x = 623.55 × 278.88
  4. Step 4: Simplify right side
    416.28x = 173,895.62
  5. Step 5: Solve for x
    x = 173,895.62/416.28
  6. Step 6: Final answer
    x = 417.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.