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Finding the Fourth Proportional to 557.68, 768.80 and 400.28

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Solution

The fourth proportional to 557.68, 768.80 and 400.28 is: 551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.68 : 768.80 = 400.28 : x
  2. Step 2: Convert to fraction form
    557.68/768.80 = 400.28/x
  3. Step 3: Cross multiply
    557.68x = 768.80 × 400.28
  4. Step 4: Simplify right side
    557.68x = 307,735.26
  5. Step 5: Solve for x
    x = 307,735.26/557.68
  6. Step 6: Final answer
    x = 551.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.