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Finding the Fourth Proportional to 451.35, 678.36 and 374.82

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Solution

The fourth proportional to 451.35, 678.36 and 374.82 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.35 : 678.36 = 374.82 : x
  2. Step 2: Convert to fraction form
    451.35/678.36 = 374.82/x
  3. Step 3: Cross multiply
    451.35x = 678.36 × 374.82
  4. Step 4: Simplify right side
    451.35x = 254,262.90
  5. Step 5: Solve for x
    x = 254,262.90/451.35
  6. Step 6: Final answer
    x = 563.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.