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Finding the Fourth Proportional to 416.61, 624.49 and 210.56

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Solution

The fourth proportional to 416.61, 624.49 and 210.56 is: 315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 624.49 = 210.56 : x
  2. Step 2: Convert to fraction form
    416.61/624.49 = 210.56/x
  3. Step 3: Cross multiply
    416.61x = 624.49 × 210.56
  4. Step 4: Simplify right side
    416.61x = 131,490.14
  5. Step 5: Solve for x
    x = 131,490.14/416.61
  6. Step 6: Final answer
    x = 315.62

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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.