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Finding the Fourth Proportional to 577.58, 797.10 and 328.84

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Solution

The fourth proportional to 577.58, 797.10 and 328.84 is: 453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 797.10 = 328.84 : x
  2. Step 2: Convert to fraction form
    577.58/797.10 = 328.84/x
  3. Step 3: Cross multiply
    577.58x = 797.10 × 328.84
  4. Step 4: Simplify right side
    577.58x = 262,120.59
  5. Step 5: Solve for x
    x = 262,120.59/577.58
  6. Step 6: Final answer
    x = 453.83

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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.