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Finding the Fourth Proportional to 577.89, 796.98 and 400.54

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Solution

The fourth proportional to 577.89, 796.98 and 400.54 is: 552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 796.98 = 400.54 : x
  2. Step 2: Convert to fraction form
    577.89/796.98 = 400.54/x
  3. Step 3: Cross multiply
    577.89x = 796.98 × 400.54
  4. Step 4: Simplify right side
    577.89x = 319,222.37
  5. Step 5: Solve for x
    x = 319,222.37/577.89
  6. Step 6: Final answer
    x = 552.39

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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.