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Finding the Fourth Proportional to 577.24, 797.25 and 454.37

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Solution

The fourth proportional to 577.24, 797.25 and 454.37 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 797.25 = 454.37 : x
  2. Step 2: Convert to fraction form
    577.24/797.25 = 454.37/x
  3. Step 3: Cross multiply
    577.24x = 797.25 × 454.37
  4. Step 4: Simplify right side
    577.24x = 362,246.48
  5. Step 5: Solve for x
    x = 362,246.48/577.24
  6. Step 6: Final answer
    x = 627.55

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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.