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Finding the Fourth Proportional to 446.83, 670.24 and 423.14

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Solution

The fourth proportional to 446.83, 670.24 and 423.14 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.83 : 670.24 = 423.14 : x
  2. Step 2: Convert to fraction form
    446.83/670.24 = 423.14/x
  3. Step 3: Cross multiply
    446.83x = 670.24 × 423.14
  4. Step 4: Simplify right side
    446.83x = 283,600.94
  5. Step 5: Solve for x
    x = 283,600.94/446.83
  6. Step 6: Final answer
    x = 634.70

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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.