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Finding the Fourth Proportional to 707.60, 976.36 and 408.78

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Solution

The fourth proportional to 707.60, 976.36 and 408.78 is: 564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.60 : 976.36 = 408.78 : x
  2. Step 2: Convert to fraction form
    707.60/976.36 = 408.78/x
  3. Step 3: Cross multiply
    707.60x = 976.36 × 408.78
  4. Step 4: Simplify right side
    707.60x = 399,116.44
  5. Step 5: Solve for x
    x = 399,116.44/707.60
  6. Step 6: Final answer
    x = 564.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.