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Finding the Fourth Proportional to 486.14, 670.50 and 353.88

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Solution

The fourth proportional to 486.14, 670.50 and 353.88 is: 488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 670.50 = 353.88 : x
  2. Step 2: Convert to fraction form
    486.14/670.50 = 353.88/x
  3. Step 3: Cross multiply
    486.14x = 670.50 × 353.88
  4. Step 4: Simplify right side
    486.14x = 237,276.54
  5. Step 5: Solve for x
    x = 237,276.54/486.14
  6. Step 6: Final answer
    x = 488.09

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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.