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Finding the Fourth Proportional to 656.24, 905.64 and 361.52

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Solution

The fourth proportional to 656.24, 905.64 and 361.52 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 905.64 = 361.52 : x
  2. Step 2: Convert to fraction form
    656.24/905.64 = 361.52/x
  3. Step 3: Cross multiply
    656.24x = 905.64 × 361.52
  4. Step 4: Simplify right side
    656.24x = 327,409.24
  5. Step 5: Solve for x
    x = 327,409.24/656.24
  6. Step 6: Final answer
    x = 498.92

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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.