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Finding the Fourth Proportional to 452.64, 623.30 and 443.46

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Solution

The fourth proportional to 452.64, 623.30 and 443.46 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 623.30 = 443.46 : x
  2. Step 2: Convert to fraction form
    452.64/623.30 = 443.46/x
  3. Step 3: Cross multiply
    452.64x = 623.30 × 443.46
  4. Step 4: Simplify right side
    452.64x = 276,408.62
  5. Step 5: Solve for x
    x = 276,408.62/452.64
  6. Step 6: Final answer
    x = 610.66

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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.