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Finding the Fourth Proportional to 659.44, 908.16 and 657.48

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Solution

The fourth proportional to 659.44, 908.16 and 657.48 is: 905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 908.16 = 657.48 : x
  2. Step 2: Convert to fraction form
    659.44/908.16 = 657.48/x
  3. Step 3: Cross multiply
    659.44x = 908.16 × 657.48
  4. Step 4: Simplify right side
    659.44x = 597,097.04
  5. Step 5: Solve for x
    x = 597,097.04/659.44
  6. Step 6: Final answer
    x = 905.46

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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.