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Finding the Fourth Proportional to 456.30, 627.75 and 378.54

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Solution

The fourth proportional to 456.30, 627.75 and 378.54 is: 520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 627.75 = 378.54 : x
  2. Step 2: Convert to fraction form
    456.30/627.75 = 378.54/x
  3. Step 3: Cross multiply
    456.30x = 627.75 × 378.54
  4. Step 4: Simplify right side
    456.30x = 237,628.49
  5. Step 5: Solve for x
    x = 237,628.49/456.30
  6. Step 6: Final answer
    x = 520.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.