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Finding the Fourth Proportional to 518.46, 777.65 and 444.66

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Solution

The fourth proportional to 518.46, 777.65 and 444.66 is: 666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 777.65 = 444.66 : x
  2. Step 2: Convert to fraction form
    518.46/777.65 = 444.66/x
  3. Step 3: Cross multiply
    518.46x = 777.65 × 444.66
  4. Step 4: Simplify right side
    518.46x = 345,787.63
  5. Step 5: Solve for x
    x = 345,787.63/518.46
  6. Step 6: Final answer
    x = 666.95

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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.