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Finding the Fourth Proportional to 451.40, 677.08 and 208.12

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Solution

The fourth proportional to 451.40, 677.08 and 208.12 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 677.08 = 208.12 : x
  2. Step 2: Convert to fraction form
    451.40/677.08 = 208.12/x
  3. Step 3: Cross multiply
    451.40x = 677.08 × 208.12
  4. Step 4: Simplify right side
    451.40x = 140,913.89
  5. Step 5: Solve for x
    x = 140,913.89/451.40
  6. Step 6: Final answer
    x = 312.17

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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.