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Finding the Fourth Proportional to 416.07, 623.84 and 285.80

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Solution

The fourth proportional to 416.07, 623.84 and 285.80 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 623.84 = 285.80 : x
  2. Step 2: Convert to fraction form
    416.07/623.84 = 285.80/x
  3. Step 3: Cross multiply
    416.07x = 623.84 × 285.80
  4. Step 4: Simplify right side
    416.07x = 178,288.92
  5. Step 5: Solve for x
    x = 178,288.92/416.07
  6. Step 6: Final answer
    x = 428.51

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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.