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Finding the Fourth Proportional to 657.56, 986.27 and 332.75

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Solution

The fourth proportional to 657.56, 986.27 and 332.75 is: 499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 986.27 = 332.75 : x
  2. Step 2: Convert to fraction form
    657.56/986.27 = 332.75/x
  3. Step 3: Cross multiply
    657.56x = 986.27 × 332.75
  4. Step 4: Simplify right side
    657.56x = 328,184.64
  5. Step 5: Solve for x
    x = 328,184.64/657.56
  6. Step 6: Final answer
    x = 499.09

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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.