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Finding the Fourth Proportional to 517.72, 776.46 and 152.41

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Solution

The fourth proportional to 517.72, 776.46 and 152.41 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 776.46 = 152.41 : x
  2. Step 2: Convert to fraction form
    517.72/776.46 = 152.41/x
  3. Step 3: Cross multiply
    517.72x = 776.46 × 152.41
  4. Step 4: Simplify right side
    517.72x = 118,336.39
  5. Step 5: Solve for x
    x = 118,336.39/517.72
  6. Step 6: Final answer
    x = 228.57

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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.