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Finding the Fourth Proportional to 452.84, 625.80 and 378.98

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Solution

The fourth proportional to 452.84, 625.80 and 378.98 is: 523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.84 : 625.80 = 378.98 : x
  2. Step 2: Convert to fraction form
    452.84/625.80 = 378.98/x
  3. Step 3: Cross multiply
    452.84x = 625.80 × 378.98
  4. Step 4: Simplify right side
    452.84x = 237,165.68
  5. Step 5: Solve for x
    x = 237,165.68/452.84
  6. Step 6: Final answer
    x = 523.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.