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Finding the Fourth Proportional to 451.96, 677.48 and 208.65

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Solution

The fourth proportional to 451.96, 677.48 and 208.65 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.96 : 677.48 = 208.65 : x
  2. Step 2: Convert to fraction form
    451.96/677.48 = 208.65/x
  3. Step 3: Cross multiply
    451.96x = 677.48 × 208.65
  4. Step 4: Simplify right side
    451.96x = 141,358.87
  5. Step 5: Solve for x
    x = 141,358.87/451.96
  6. Step 6: Final answer
    x = 312.77

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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.