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Finding the Fourth Proportional to 656.33, 905.78 and 361.64

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Solution

The fourth proportional to 656.33, 905.78 and 361.64 is: 499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.33 : 905.78 = 361.64 : x
  2. Step 2: Convert to fraction form
    656.33/905.78 = 361.64/x
  3. Step 3: Cross multiply
    656.33x = 905.78 × 361.64
  4. Step 4: Simplify right side
    656.33x = 327,569.45
  5. Step 5: Solve for x
    x = 327,569.45/656.33
  6. Step 6: Final answer
    x = 499.10

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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.