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Finding the Fourth Proportional to 656.41, 905.84 and 361.67

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Solution

The fourth proportional to 656.41, 905.84 and 361.67 is: 499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.41 : 905.84 = 361.67 : x
  2. Step 2: Convert to fraction form
    656.41/905.84 = 361.67/x
  3. Step 3: Cross multiply
    656.41x = 905.84 × 361.67
  4. Step 4: Simplify right side
    656.41x = 327,615.15
  5. Step 5: Solve for x
    x = 327,615.15/656.41
  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.