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Finding the Fourth Proportional to 517.47, 777.32 and 325.23

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Solution

The fourth proportional to 517.47, 777.32 and 325.23 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.47 : 777.32 = 325.23 : x
  2. Step 2: Convert to fraction form
    517.47/777.32 = 325.23/x
  3. Step 3: Cross multiply
    517.47x = 777.32 × 325.23
  4. Step 4: Simplify right side
    517.47x = 252,806.16
  5. Step 5: Solve for x
    x = 252,806.16/517.47
  6. Step 6: Final answer
    x = 488.54

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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.