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Finding the Fourth Proportional to 721.52, 995.64 and 441.84

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Solution

The fourth proportional to 721.52, 995.64 and 441.84 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.52 : 995.64 = 441.84 : x
  2. Step 2: Convert to fraction form
    721.52/995.64 = 441.84/x
  3. Step 3: Cross multiply
    721.52x = 995.64 × 441.84
  4. Step 4: Simplify right side
    721.52x = 439,913.58
  5. Step 5: Solve for x
    x = 439,913.58/721.52
  6. Step 6: Final answer
    x = 609.70

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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.