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Finding the Fourth Proportional to 556.78, 768.32 and 357.33

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Solution

The fourth proportional to 556.78, 768.32 and 357.33 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.78 : 768.32 = 357.33 : x
  2. Step 2: Convert to fraction form
    556.78/768.32 = 357.33/x
  3. Step 3: Cross multiply
    556.78x = 768.32 × 357.33
  4. Step 4: Simplify right side
    556.78x = 274,543.79
  5. Step 5: Solve for x
    x = 274,543.79/556.78
  6. Step 6: Final answer
    x = 493.10

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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.