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Finding the Fourth Proportional to 577.52, 796.73 and 402.96

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Solution

The fourth proportional to 577.52, 796.73 and 402.96 is: 555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.52 : 796.73 = 402.96 : x
  2. Step 2: Convert to fraction form
    577.52/796.73 = 402.96/x
  3. Step 3: Cross multiply
    577.52x = 796.73 × 402.96
  4. Step 4: Simplify right side
    577.52x = 321,050.32
  5. Step 5: Solve for x
    x = 321,050.32/577.52
  6. Step 6: Final answer
    x = 555.91

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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.