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Finding the Fourth Proportional to 707.88, 976.86 and 413.16

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Solution

The fourth proportional to 707.88, 976.86 and 413.16 is: 570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.88 : 976.86 = 413.16 : x
  2. Step 2: Convert to fraction form
    707.88/976.86 = 413.16/x
  3. Step 3: Cross multiply
    707.88x = 976.86 × 413.16
  4. Step 4: Simplify right side
    707.88x = 403,599.48
  5. Step 5: Solve for x
    x = 403,599.48/707.88
  6. Step 6: Final answer
    x = 570.15

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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.