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Finding the Fourth Proportional to 452.12, 677.84 and 208.84

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Solution

The fourth proportional to 452.12, 677.84 and 208.84 is: 313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.12 : 677.84 = 208.84 : x
  2. Step 2: Convert to fraction form
    452.12/677.84 = 208.84/x
  3. Step 3: Cross multiply
    452.12x = 677.84 × 208.84
  4. Step 4: Simplify right side
    452.12x = 141,560.11
  5. Step 5: Solve for x
    x = 141,560.11/452.12
  6. Step 6: Final answer
    x = 313.10

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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.