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Finding the Fourth Proportional to 451.53, 677.31 and 208.02

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Solution

The fourth proportional to 451.53, 677.31 and 208.02 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.53 : 677.31 = 208.02 : x
  2. Step 2: Convert to fraction form
    451.53/677.31 = 208.02/x
  3. Step 3: Cross multiply
    451.53x = 677.31 × 208.02
  4. Step 4: Simplify right side
    451.53x = 140,894.03
  5. Step 5: Solve for x
    x = 140,894.03/451.53
  6. Step 6: Final answer
    x = 312.04

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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.