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Finding the Fourth Proportional to 656.13, 905.42 and 361.41

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Solution

The fourth proportional to 656.13, 905.42 and 361.41 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.13 : 905.42 = 361.41 : x
  2. Step 2: Convert to fraction form
    656.13/905.42 = 361.41/x
  3. Step 3: Cross multiply
    656.13x = 905.42 × 361.41
  4. Step 4: Simplify right side
    656.13x = 327,226.04
  5. Step 5: Solve for x
    x = 327,226.04/656.13
  6. Step 6: Final answer
    x = 498.72

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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.