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Finding the Fourth Proportional to 416.31, 623.56 and 285.69

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Solution

The fourth proportional to 416.31, 623.56 and 285.69 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 623.56 = 285.69 : x
  2. Step 2: Convert to fraction form
    416.31/623.56 = 285.69/x
  3. Step 3: Cross multiply
    416.31x = 623.56 × 285.69
  4. Step 4: Simplify right side
    416.31x = 178,144.86
  5. Step 5: Solve for x
    x = 178,144.86/416.31
  6. Step 6: Final answer
    x = 427.91

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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.