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Finding the Fourth Proportional to 446.63, 670.98 and 428.18

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Solution

The fourth proportional to 446.63, 670.98 and 428.18 is: 643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 670.98 = 428.18 : x
  2. Step 2: Convert to fraction form
    446.63/670.98 = 428.18/x
  3. Step 3: Cross multiply
    446.63x = 670.98 × 428.18
  4. Step 4: Simplify right side
    446.63x = 287,299.41
  5. Step 5: Solve for x
    x = 287,299.41/446.63
  6. Step 6: Final answer
    x = 643.26

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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.