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Finding the Fourth Proportional to 488.96, 678.92 and 477.20

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Solution

The fourth proportional to 488.96, 678.92 and 477.20 is: 662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 678.92 = 477.20 : x
  2. Step 2: Convert to fraction form
    488.96/678.92 = 477.20/x
  3. Step 3: Cross multiply
    488.96x = 678.92 × 477.20
  4. Step 4: Simplify right side
    488.96x = 323,980.62
  5. Step 5: Solve for x
    x = 323,980.62/488.96
  6. Step 6: Final answer
    x = 662.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.