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Finding the Fourth Proportional to 446.12, 614.37 and 418.34

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Solution

The fourth proportional to 446.12, 614.37 and 418.34 is: 576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.12 : 614.37 = 418.34 : x
  2. Step 2: Convert to fraction form
    446.12/614.37 = 418.34/x
  3. Step 3: Cross multiply
    446.12x = 614.37 × 418.34
  4. Step 4: Simplify right side
    446.12x = 257,015.55
  5. Step 5: Solve for x
    x = 257,015.55/446.12
  6. Step 6: Final answer
    x = 576.11

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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.