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Finding the Fourth Proportional to 707.88, 977.06 and 397.48

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Solution

The fourth proportional to 707.88, 977.06 and 397.48 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.88 : 977.06 = 397.48 : x
  2. Step 2: Convert to fraction form
    707.88/977.06 = 397.48/x
  3. Step 3: Cross multiply
    707.88x = 977.06 × 397.48
  4. Step 4: Simplify right side
    707.88x = 388,361.81
  5. Step 5: Solve for x
    x = 388,361.81/707.88
  6. Step 6: Final answer
    x = 548.63

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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.