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Finding the Fourth Proportional to 657.56, 985.98 and 475.22

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Solution

The fourth proportional to 657.56, 985.98 and 475.22 is: 712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 985.98 = 475.22 : x
  2. Step 2: Convert to fraction form
    657.56/985.98 = 475.22/x
  3. Step 3: Cross multiply
    657.56x = 985.98 × 475.22
  4. Step 4: Simplify right side
    657.56x = 468,557.42
  5. Step 5: Solve for x
    x = 468,557.42/657.56
  6. Step 6: Final answer
    x = 712.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.