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Finding the Fourth Proportional to 457.07, 685.46 and 197.06

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Solution

The fourth proportional to 457.07, 685.46 and 197.06 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.07 : 685.46 = 197.06 : x
  2. Step 2: Convert to fraction form
    457.07/685.46 = 197.06/x
  3. Step 3: Cross multiply
    457.07x = 685.46 × 197.06
  4. Step 4: Simplify right side
    457.07x = 135,072.34
  5. Step 5: Solve for x
    x = 135,072.34/457.07
  6. Step 6: Final answer
    x = 295.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.