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Finding the Fourth Proportional to 419.24, 628.46 and 282.32

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Solution

The fourth proportional to 419.24, 628.46 and 282.32 is: 423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 628.46 = 282.32 : x
  2. Step 2: Convert to fraction form
    419.24/628.46 = 282.32/x
  3. Step 3: Cross multiply
    419.24x = 628.46 × 282.32
  4. Step 4: Simplify right side
    419.24x = 177,425.69
  5. Step 5: Solve for x
    x = 177,425.69/419.24
  6. Step 6: Final answer
    x = 423.21

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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.