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Finding the Fourth Proportional to 651.67, 975.98 and 326.25

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Solution

The fourth proportional to 651.67, 975.98 and 326.25 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.67 : 975.98 = 326.25 : x
  2. Step 2: Convert to fraction form
    651.67/975.98 = 326.25/x
  3. Step 3: Cross multiply
    651.67x = 975.98 × 326.25
  4. Step 4: Simplify right side
    651.67x = 318,414.29
  5. Step 5: Solve for x
    x = 318,414.29/651.67
  6. Step 6: Final answer
    x = 488.61

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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.