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Finding the Fourth Proportional to 416.32, 624.14 and 286

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Solution

The fourth proportional to 416.32, 624.14 and 286 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.32 : 624.14 = 286 : x
  2. Step 2: Convert to fraction form
    416.32/624.14 = 286/x
  3. Step 3: Cross multiply
    416.32x = 624.14 × 286
  4. Step 4: Simplify right side
    416.32x = 178,504.04
  5. Step 5: Solve for x
    x = 178,504.04/416.32
  6. Step 6: Final answer
    x = 428.77

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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.