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Finding the Fourth Proportional to 684.84, 1,027.68 and 300.36

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Solution

The fourth proportional to 684.84, 1,027.68 and 300.36 is: 450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 1,027.68 = 300.36 : x
  2. Step 2: Convert to fraction form
    684.84/1,027.68 = 300.36/x
  3. Step 3: Cross multiply
    684.84x = 1,027.68 × 300.36
  4. Step 4: Simplify right side
    684.84x = 308,673.96
  5. Step 5: Solve for x
    x = 308,673.96/684.84
  6. Step 6: Final answer
    x = 450.72

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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.