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Finding the Fourth Proportional to 416.38, 624.57 and 406.05

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Solution

The fourth proportional to 416.38, 624.57 and 406.05 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.38 : 624.57 = 406.05 : x
  2. Step 2: Convert to fraction form
    416.38/624.57 = 406.05/x
  3. Step 3: Cross multiply
    416.38x = 624.57 × 406.05
  4. Step 4: Simplify right side
    416.38x = 253,606.65
  5. Step 5: Solve for x
    x = 253,606.65/416.38
  6. Step 6: Final answer
    x = 609.08

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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.