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Finding the Fourth Proportional to 451.78, 677.44 and 208.16

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Solution

The fourth proportional to 451.78, 677.44 and 208.16 is: 312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.78 : 677.44 = 208.16 : x
  2. Step 2: Convert to fraction form
    451.78/677.44 = 208.16/x
  3. Step 3: Cross multiply
    451.78x = 677.44 × 208.16
  4. Step 4: Simplify right side
    451.78x = 141,015.91
  5. Step 5: Solve for x
    x = 141,015.91/451.78
  6. Step 6: Final answer
    x = 312.13

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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.