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Finding the Fourth Proportional to 366.10, 512.90 and 366.10

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Solution

The fourth proportional to 366.10, 512.90 and 366.10 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 512.90 = 366.10 : x
  2. Step 2: Convert to fraction form
    366.10/512.90 = 366.10/x
  3. Step 3: Cross multiply
    366.10x = 512.90 × 366.10
  4. Step 4: Simplify right side
    366.10x = 187,772.69
  5. Step 5: Solve for x
    x = 187,772.69/366.10
  6. Step 6: Final answer
    x = 512.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.