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Finding the Fourth Proportional to 452.45, 623.66 and 369.41

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Solution

The fourth proportional to 452.45, 623.66 and 369.41 is: 509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.45 : 623.66 = 369.41 : x
  2. Step 2: Convert to fraction form
    452.45/623.66 = 369.41/x
  3. Step 3: Cross multiply
    452.45x = 623.66 × 369.41
  4. Step 4: Simplify right side
    452.45x = 230,388.72
  5. Step 5: Solve for x
    x = 230,388.72/452.45
  6. Step 6: Final answer
    x = 509.20

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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.