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Finding the Fourth Proportional to 723.64, 998.60 and 413.14

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Solution

The fourth proportional to 723.64, 998.60 and 413.14 is: 570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 998.60 = 413.14 : x
  2. Step 2: Convert to fraction form
    723.64/998.60 = 413.14/x
  3. Step 3: Cross multiply
    723.64x = 998.60 × 413.14
  4. Step 4: Simplify right side
    723.64x = 412,561.60
  5. Step 5: Solve for x
    x = 412,561.60/723.64
  6. Step 6: Final answer
    x = 570.12

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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.