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Finding the Fourth Proportional to 452.98, 678.45 and 276.80

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Solution

The fourth proportional to 452.98, 678.45 and 276.80 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.98 : 678.45 = 276.80 : x
  2. Step 2: Convert to fraction form
    452.98/678.45 = 276.80/x
  3. Step 3: Cross multiply
    452.98x = 678.45 × 276.80
  4. Step 4: Simplify right side
    452.98x = 187,794.96
  5. Step 5: Solve for x
    x = 187,794.96/452.98
  6. Step 6: Final answer
    x = 414.58

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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.