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Finding the Fourth Proportional to 453.40, 626.32 and 365.92

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Solution

The fourth proportional to 453.40, 626.32 and 365.92 is: 505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.40 : 626.32 = 365.92 : x
  2. Step 2: Convert to fraction form
    453.40/626.32 = 365.92/x
  3. Step 3: Cross multiply
    453.40x = 626.32 × 365.92
  4. Step 4: Simplify right side
    453.40x = 229,183.01
  5. Step 5: Solve for x
    x = 229,183.01/453.40
  6. Step 6: Final answer
    x = 505.48

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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.