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Finding the Fourth Proportional to 416.47, 624.60 and 210.76

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Solution

The fourth proportional to 416.47, 624.60 and 210.76 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 624.60 = 210.76 : x
  2. Step 2: Convert to fraction form
    416.47/624.60 = 210.76/x
  3. Step 3: Cross multiply
    416.47x = 624.60 × 210.76
  4. Step 4: Simplify right side
    416.47x = 131,640.70
  5. Step 5: Solve for x
    x = 131,640.70/416.47
  6. Step 6: Final answer
    x = 316.09

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