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Finding the Fourth Proportional to 656.34, 905.82 and 361.64

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Solution

The fourth proportional to 656.34, 905.82 and 361.64 is: 499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 905.82 = 361.64 : x
  2. Step 2: Convert to fraction form
    656.34/905.82 = 361.64/x
  3. Step 3: Cross multiply
    656.34x = 905.82 × 361.64
  4. Step 4: Simplify right side
    656.34x = 327,580.74
  5. Step 5: Solve for x
    x = 327,580.74/656.34
  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.