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Finding the Fourth Proportional to 451.28, 675.75 and 386.70

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Solution

The fourth proportional to 451.28, 675.75 and 386.70 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.28 : 675.75 = 386.70 : x
  2. Step 2: Convert to fraction form
    451.28/675.75 = 386.70/x
  3. Step 3: Cross multiply
    451.28x = 675.75 × 386.70
  4. Step 4: Simplify right side
    451.28x = 261,312.53
  5. Step 5: Solve for x
    x = 261,312.53/451.28
  6. Step 6: Final answer
    x = 579.05

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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.