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Finding the Fourth Proportional to 656.28, 905.64 and 361.50

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Solution

The fourth proportional to 656.28, 905.64 and 361.50 is: 498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.28 : 905.64 = 361.50 : x
  2. Step 2: Convert to fraction form
    656.28/905.64 = 361.50/x
  3. Step 3: Cross multiply
    656.28x = 905.64 × 361.50
  4. Step 4: Simplify right side
    656.28x = 327,388.86
  5. Step 5: Solve for x
    x = 327,388.86/656.28
  6. Step 6: Final answer
    x = 498.86

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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.