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Finding the Fourth Proportional to 453.06, 625.74 and 305.44

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Solution

The fourth proportional to 453.06, 625.74 and 305.44 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.06 : 625.74 = 305.44 : x
  2. Step 2: Convert to fraction form
    453.06/625.74 = 305.44/x
  3. Step 3: Cross multiply
    453.06x = 625.74 × 305.44
  4. Step 4: Simplify right side
    453.06x = 191,123.32
  5. Step 5: Solve for x
    x = 191,123.32/453.06
  6. Step 6: Final answer
    x = 421.85

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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.