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Finding the Fourth Proportional to 451.28, 679.46 and 411.50

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Solution

The fourth proportional to 451.28, 679.46 and 411.50 is: 619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.28 : 679.46 = 411.50 : x
  2. Step 2: Convert to fraction form
    451.28/679.46 = 411.50/x
  3. Step 3: Cross multiply
    451.28x = 679.46 × 411.50
  4. Step 4: Simplify right side
    451.28x = 279,597.79
  5. Step 5: Solve for x
    x = 279,597.79/451.28
  6. Step 6: Final answer
    x = 619.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.