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Finding the Fourth Proportional to 721.56, 995.64 and 411

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Solution

The fourth proportional to 721.56, 995.64 and 411 is: 567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.56 : 995.64 = 411 : x
  2. Step 2: Convert to fraction form
    721.56/995.64 = 411/x
  3. Step 3: Cross multiply
    721.56x = 995.64 × 411
  4. Step 4: Simplify right side
    721.56x = 409,208.04
  5. Step 5: Solve for x
    x = 409,208.04/721.56
  6. Step 6: Final answer
    x = 567.12

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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.