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Finding the Fourth Proportional to 657.81, 908.38 and 436.88

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Solution

The fourth proportional to 657.81, 908.38 and 436.88 is: 603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.81 : 908.38 = 436.88 : x
  2. Step 2: Convert to fraction form
    657.81/908.38 = 436.88/x
  3. Step 3: Cross multiply
    657.81x = 908.38 × 436.88
  4. Step 4: Simplify right side
    657.81x = 396,853.05
  5. Step 5: Solve for x
    x = 396,853.05/657.81
  6. Step 6: Final answer
    x = 603.29

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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.