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Finding the Fourth Proportional to 656.13, 905.43 and 361.40

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Solution

The fourth proportional to 656.13, 905.43 and 361.40 is: 498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.13 : 905.43 = 361.40 : x
  2. Step 2: Convert to fraction form
    656.13/905.43 = 361.40/x
  3. Step 3: Cross multiply
    656.13x = 905.43 × 361.40
  4. Step 4: Simplify right side
    656.13x = 327,218.33
  5. Step 5: Solve for x
    x = 327,218.33/656.13
  6. Step 6: Final answer
    x = 498.71

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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.