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Finding the Fourth Proportional to 446.50, 614.24 and 428.74

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Solution

The fourth proportional to 446.50, 614.24 and 428.74 is: 589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 614.24 = 428.74 : x
  2. Step 2: Convert to fraction form
    446.50/614.24 = 428.74/x
  3. Step 3: Cross multiply
    446.50x = 614.24 × 428.74
  4. Step 4: Simplify right side
    446.50x = 263,349.26
  5. Step 5: Solve for x
    x = 263,349.26/446.50
  6. Step 6: Final answer
    x = 589.81

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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.