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Finding the Fourth Proportional to 518.46, 776 and 381.46

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Solution

The fourth proportional to 518.46, 776 and 381.46 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 776 = 381.46 : x
  2. Step 2: Convert to fraction form
    518.46/776 = 381.46/x
  3. Step 3: Cross multiply
    518.46x = 776 × 381.46
  4. Step 4: Simplify right side
    518.46x = 296,012.96
  5. Step 5: Solve for x
    x = 296,012.96/518.46
  6. Step 6: Final answer
    x = 570.95

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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.