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Finding the Fourth Proportional to 446.06, 614.99 and 366.01

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Solution

The fourth proportional to 446.06, 614.99 and 366.01 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 614.99 = 366.01 : x
  2. Step 2: Convert to fraction form
    446.06/614.99 = 366.01/x
  3. Step 3: Cross multiply
    446.06x = 614.99 × 366.01
  4. Step 4: Simplify right side
    446.06x = 225,092.49
  5. Step 5: Solve for x
    x = 225,092.49/446.06
  6. Step 6: Final answer
    x = 504.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.