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Finding the Fourth Proportional to 707.84, 976.84 and 413.08

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Solution

The fourth proportional to 707.84, 976.84 and 413.08 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.84 : 976.84 = 413.08 : x
  2. Step 2: Convert to fraction form
    707.84/976.84 = 413.08/x
  3. Step 3: Cross multiply
    707.84x = 976.84 × 413.08
  4. Step 4: Simplify right side
    707.84x = 403,513.07
  5. Step 5: Solve for x
    x = 403,513.07/707.84
  6. Step 6: Final answer
    x = 570.06

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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.