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Finding the Fourth Proportional to 377.97, 524.01 and 364.61

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Solution

The fourth proportional to 377.97, 524.01 and 364.61 is: 505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.97 : 524.01 = 364.61 : x
  2. Step 2: Convert to fraction form
    377.97/524.01 = 364.61/x
  3. Step 3: Cross multiply
    377.97x = 524.01 × 364.61
  4. Step 4: Simplify right side
    377.97x = 191,059.29
  5. Step 5: Solve for x
    x = 191,059.29/377.97
  6. Step 6: Final answer
    x = 505.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.