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Finding the Fourth Proportional to 577.89, 797.85 and 400.79

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Solution

The fourth proportional to 577.89, 797.85 and 400.79 is: 553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.89 : 797.85 = 400.79 : x
  2. Step 2: Convert to fraction form
    577.89/797.85 = 400.79/x
  3. Step 3: Cross multiply
    577.89x = 797.85 × 400.79
  4. Step 4: Simplify right side
    577.89x = 319,770.04
  5. Step 5: Solve for x
    x = 319,770.04/577.89
  6. Step 6: Final answer
    x = 553.34

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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.