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Finding the Fourth Proportional to 656.14, 905.47 and 361.41

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Solution

The fourth proportional to 656.14, 905.47 and 361.41 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 905.47 = 361.41 : x
  2. Step 2: Convert to fraction form
    656.14/905.47 = 361.41/x
  3. Step 3: Cross multiply
    656.14x = 905.47 × 361.41
  4. Step 4: Simplify right side
    656.14x = 327,243.65
  5. Step 5: Solve for x
    x = 327,243.65/656.14
  6. Step 6: Final answer
    x = 498.74

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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.