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Finding the Fourth Proportional to 416.06, 624.32 and 184.94

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Solution

The fourth proportional to 416.06, 624.32 and 184.94 is: 277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.06 : 624.32 = 184.94 : x
  2. Step 2: Convert to fraction form
    416.06/624.32 = 184.94/x
  3. Step 3: Cross multiply
    416.06x = 624.32 × 184.94
  4. Step 4: Simplify right side
    416.06x = 115,457.69
  5. Step 5: Solve for x
    x = 115,457.69/416.06
  6. Step 6: Final answer
    x = 277.51

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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.