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Finding the Fourth Proportional to 486.06, 727.26 and 416.64

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Solution

The fourth proportional to 486.06, 727.26 and 416.64 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 727.26 = 416.64 : x
  2. Step 2: Convert to fraction form
    486.06/727.26 = 416.64/x
  3. Step 3: Cross multiply
    486.06x = 727.26 × 416.64
  4. Step 4: Simplify right side
    486.06x = 303,005.61
  5. Step 5: Solve for x
    x = 303,005.61/486.06
  6. Step 6: Final answer
    x = 623.39

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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.