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Finding the Fourth Proportional to 657.72, 908.81 and 470.88

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Solution

The fourth proportional to 657.72, 908.81 and 470.88 is: 650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 908.81 = 470.88 : x
  2. Step 2: Convert to fraction form
    657.72/908.81 = 470.88/x
  3. Step 3: Cross multiply
    657.72x = 908.81 × 470.88
  4. Step 4: Simplify right side
    657.72x = 427,940.45
  5. Step 5: Solve for x
    x = 427,940.45/657.72
  6. Step 6: Final answer
    x = 650.64

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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.