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Finding the Fourth Proportional to 707.96, 976.68 and 413.06

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Solution

The fourth proportional to 707.96, 976.68 and 413.06 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 976.68 = 413.06 : x
  2. Step 2: Convert to fraction form
    707.96/976.68 = 413.06/x
  3. Step 3: Cross multiply
    707.96x = 976.68 × 413.06
  4. Step 4: Simplify right side
    707.96x = 403,427.44
  5. Step 5: Solve for x
    x = 403,427.44/707.96
  6. Step 6: Final answer
    x = 569.84

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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.