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Finding the Fourth Proportional to 452.31, 678.60 and 208.83

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Solution

The fourth proportional to 452.31, 678.60 and 208.83 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 678.60 = 208.83 : x
  2. Step 2: Convert to fraction form
    452.31/678.60 = 208.83/x
  3. Step 3: Cross multiply
    452.31x = 678.60 × 208.83
  4. Step 4: Simplify right side
    452.31x = 141,712.04
  5. Step 5: Solve for x
    x = 141,712.04/452.31
  6. Step 6: Final answer
    x = 313.31

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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.