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Finding the Fourth Proportional to 451.67, 677.57 and 204.95

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Solution

The fourth proportional to 451.67, 677.57 and 204.95 is: 307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.67 : 677.57 = 204.95 : x
  2. Step 2: Convert to fraction form
    451.67/677.57 = 204.95/x
  3. Step 3: Cross multiply
    451.67x = 677.57 × 204.95
  4. Step 4: Simplify right side
    451.67x = 138,868.64
  5. Step 5: Solve for x
    x = 138,868.64/451.67
  6. Step 6: Final answer
    x = 307.46

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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.