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Finding the Fourth Proportional to 577.47, 797.74 and 460.22

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Solution

The fourth proportional to 577.47, 797.74 and 460.22 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.47 : 797.74 = 460.22 : x
  2. Step 2: Convert to fraction form
    577.47/797.74 = 460.22/x
  3. Step 3: Cross multiply
    577.47x = 797.74 × 460.22
  4. Step 4: Simplify right side
    577.47x = 367,135.90
  5. Step 5: Solve for x
    x = 367,135.90/577.47
  6. Step 6: Final answer
    x = 635.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.