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Finding the Fourth Proportional to 657.56, 908.23 and 578.94

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Solution

The fourth proportional to 657.56, 908.23 and 578.94 is: 799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 908.23 = 578.94 : x
  2. Step 2: Convert to fraction form
    657.56/908.23 = 578.94/x
  3. Step 3: Cross multiply
    657.56x = 908.23 × 578.94
  4. Step 4: Simplify right side
    657.56x = 525,810.68
  5. Step 5: Solve for x
    x = 525,810.68/657.56
  6. Step 6: Final answer
    x = 799.64

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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.