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Finding the Fourth Proportional to 577.31, 796.28 and 400.32

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Solution

The fourth proportional to 577.31, 796.28 and 400.32 is: 552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.31 : 796.28 = 400.32 : x
  2. Step 2: Convert to fraction form
    577.31/796.28 = 400.32/x
  3. Step 3: Cross multiply
    577.31x = 796.28 × 400.32
  4. Step 4: Simplify right side
    577.31x = 318,764.81
  5. Step 5: Solve for x
    x = 318,764.81/577.31
  6. Step 6: Final answer
    x = 552.16

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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.