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Finding the Fourth Proportional to 419.63, 628.81 and 282.17

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Solution

The fourth proportional to 419.63, 628.81 and 282.17 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 628.81 = 282.17 : x
  2. Step 2: Convert to fraction form
    419.63/628.81 = 282.17/x
  3. Step 3: Cross multiply
    419.63x = 628.81 × 282.17
  4. Step 4: Simplify right side
    419.63x = 177,430.61
  5. Step 5: Solve for x
    x = 177,430.61/419.63
  6. Step 6: Final answer
    x = 422.82

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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.