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Finding the Fourth Proportional to 657.23, 986.45 and 332.82

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Solution

The fourth proportional to 657.23, 986.45 and 332.82 is: 499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 986.45 = 332.82 : x
  2. Step 2: Convert to fraction form
    657.23/986.45 = 332.82/x
  3. Step 3: Cross multiply
    657.23x = 986.45 × 332.82
  4. Step 4: Simplify right side
    657.23x = 328,310.29
  5. Step 5: Solve for x
    x = 328,310.29/657.23
  6. Step 6: Final answer
    x = 499.54

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