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Finding the Fourth Proportional to 721.23, 995.46 and 459.18

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Solution

The fourth proportional to 721.23, 995.46 and 459.18 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.23 : 995.46 = 459.18 : x
  2. Step 2: Convert to fraction form
    721.23/995.46 = 459.18/x
  3. Step 3: Cross multiply
    721.23x = 995.46 × 459.18
  4. Step 4: Simplify right side
    721.23x = 457,095.32
  5. Step 5: Solve for x
    x = 457,095.32/721.23
  6. Step 6: Final answer
    x = 633.77

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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.