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Finding the Fourth Proportional to 639.54, 882.30 and 377.46

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Solution

The fourth proportional to 639.54, 882.30 and 377.46 is: 520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.54 : 882.30 = 377.46 : x
  2. Step 2: Convert to fraction form
    639.54/882.30 = 377.46/x
  3. Step 3: Cross multiply
    639.54x = 882.30 × 377.46
  4. Step 4: Simplify right side
    639.54x = 333,032.96
  5. Step 5: Solve for x
    x = 333,032.96/639.54
  6. Step 6: Final answer
    x = 520.74

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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.