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Finding the Fourth Proportional to 716.09, 988.25 and 413.35

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Solution

The fourth proportional to 716.09, 988.25 and 413.35 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.09 : 988.25 = 413.35 : x
  2. Step 2: Convert to fraction form
    716.09/988.25 = 413.35/x
  3. Step 3: Cross multiply
    716.09x = 988.25 × 413.35
  4. Step 4: Simplify right side
    716.09x = 408,494.17
  5. Step 5: Solve for x
    x = 408,494.17/716.09
  6. Step 6: Final answer
    x = 570.45

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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.