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Finding the Fourth Proportional to 707.90, 976.94 and 413.34

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Solution

The fourth proportional to 707.90, 976.94 and 413.34 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.90 : 976.94 = 413.34 : x
  2. Step 2: Convert to fraction form
    707.90/976.94 = 413.34/x
  3. Step 3: Cross multiply
    707.90x = 976.94 × 413.34
  4. Step 4: Simplify right side
    707.90x = 403,808.38
  5. Step 5: Solve for x
    x = 403,808.38/707.90
  6. Step 6: Final answer
    x = 570.43

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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.