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Finding the Fourth Proportional to 707.64, 976.63 and 397.20

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Solution

The fourth proportional to 707.64, 976.63 and 397.20 is: 548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 976.63 = 397.20 : x
  2. Step 2: Convert to fraction form
    707.64/976.63 = 397.20/x
  3. Step 3: Cross multiply
    707.64x = 976.63 × 397.20
  4. Step 4: Simplify right side
    707.64x = 387,917.44
  5. Step 5: Solve for x
    x = 387,917.44/707.64
  6. Step 6: Final answer
    x = 548.18

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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.