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Finding the Fourth Proportional to 707.95, 976.97 and 413.16

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Solution

The fourth proportional to 707.95, 976.97 and 413.16 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 976.97 = 413.16 : x
  2. Step 2: Convert to fraction form
    707.95/976.97 = 413.16/x
  3. Step 3: Cross multiply
    707.95x = 976.97 × 413.16
  4. Step 4: Simplify right side
    707.95x = 403,640.04
  5. Step 5: Solve for x
    x = 403,640.04/707.95
  6. Step 6: Final answer
    x = 570.16

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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.