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Finding the Fourth Proportional to 577.77, 797.96 and 402.81

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Solution

The fourth proportional to 577.77, 797.96 and 402.81 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.77 : 797.96 = 402.81 : x
  2. Step 2: Convert to fraction form
    577.77/797.96 = 402.81/x
  3. Step 3: Cross multiply
    577.77x = 797.96 × 402.81
  4. Step 4: Simplify right side
    577.77x = 321,424.25
  5. Step 5: Solve for x
    x = 321,424.25/577.77
  6. Step 6: Final answer
    x = 556.32

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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.