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Finding the Fourth Proportional to 721.06, 995.08 and 410.50

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Solution

The fourth proportional to 721.06, 995.08 and 410.50 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.06 : 995.08 = 410.50 : x
  2. Step 2: Convert to fraction form
    721.06/995.08 = 410.50/x
  3. Step 3: Cross multiply
    721.06x = 995.08 × 410.50
  4. Step 4: Simplify right side
    721.06x = 408,480.34
  5. Step 5: Solve for x
    x = 408,480.34/721.06
  6. Step 6: Final answer
    x = 566.50

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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.