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Finding the Fourth Proportional to 513.46, 769.47 and 444.81

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Solution

The fourth proportional to 513.46, 769.47 and 444.81 is: 666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.46 : 769.47 = 444.81 : x
  2. Step 2: Convert to fraction form
    513.46/769.47 = 444.81/x
  3. Step 3: Cross multiply
    513.46x = 769.47 × 444.81
  4. Step 4: Simplify right side
    513.46x = 342,267.14
  5. Step 5: Solve for x
    x = 342,267.14/513.46
  6. Step 6: Final answer
    x = 666.60

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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.