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Finding the Fourth Proportional to 707.54, 976.59 and 408.83

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Solution

The fourth proportional to 707.54, 976.59 and 408.83 is: 564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 976.59 = 408.83 : x
  2. Step 2: Convert to fraction form
    707.54/976.59 = 408.83/x
  3. Step 3: Cross multiply
    707.54x = 976.59 × 408.83
  4. Step 4: Simplify right side
    707.54x = 399,261.73
  5. Step 5: Solve for x
    x = 399,261.73/707.54
  6. Step 6: Final answer
    x = 564.29

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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.