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Finding the Fourth Proportional to 451.90, 677.44 and 208.36

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Solution

The fourth proportional to 451.90, 677.44 and 208.36 is: 312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 677.44 = 208.36 : x
  2. Step 2: Convert to fraction form
    451.90/677.44 = 208.36/x
  3. Step 3: Cross multiply
    451.90x = 677.44 × 208.36
  4. Step 4: Simplify right side
    451.90x = 141,151.40
  5. Step 5: Solve for x
    x = 141,151.40/451.90
  6. Step 6: Final answer
    x = 312.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.