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Finding the Fourth Proportional to 557.18, 768.96 and 336.14

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Solution

The fourth proportional to 557.18, 768.96 and 336.14 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.18 : 768.96 = 336.14 : x
  2. Step 2: Convert to fraction form
    557.18/768.96 = 336.14/x
  3. Step 3: Cross multiply
    557.18x = 768.96 × 336.14
  4. Step 4: Simplify right side
    557.18x = 258,478.21
  5. Step 5: Solve for x
    x = 258,478.21/557.18
  6. Step 6: Final answer
    x = 463.90

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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.