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Finding the Fourth Proportional to 556.92, 768.14 and 357.57

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Solution

The fourth proportional to 556.92, 768.14 and 357.57 is: 493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 768.14 = 357.57 : x
  2. Step 2: Convert to fraction form
    556.92/768.14 = 357.57/x
  3. Step 3: Cross multiply
    556.92x = 768.14 × 357.57
  4. Step 4: Simplify right side
    556.92x = 274,662.03
  5. Step 5: Solve for x
    x = 274,662.03/556.92
  6. Step 6: Final answer
    x = 493.18

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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.