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Finding the Fourth Proportional to 451.68, 677.77 and 204.80

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Solution

The fourth proportional to 451.68, 677.77 and 204.80 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 677.77 = 204.80 : x
  2. Step 2: Convert to fraction form
    451.68/677.77 = 204.80/x
  3. Step 3: Cross multiply
    451.68x = 677.77 × 204.80
  4. Step 4: Simplify right side
    451.68x = 138,803.40
  5. Step 5: Solve for x
    x = 138,803.40/451.68
  6. Step 6: Final answer
    x = 307.31

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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.