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Finding the Fourth Proportional to 416.12, 624.05 and 185.01

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Solution

The fourth proportional to 416.12, 624.05 and 185.01 is: 277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 624.05 = 185.01 : x
  2. Step 2: Convert to fraction form
    416.12/624.05 = 185.01/x
  3. Step 3: Cross multiply
    416.12x = 624.05 × 185.01
  4. Step 4: Simplify right side
    416.12x = 115,451.45
  5. Step 5: Solve for x
    x = 115,451.45/416.12
  6. Step 6: Final answer
    x = 277.45

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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.