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Finding the Fourth Proportional to 513.57, 769.01 and 305.18

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Solution

The fourth proportional to 513.57, 769.01 and 305.18 is: 456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 769.01 = 305.18 : x
  2. Step 2: Convert to fraction form
    513.57/769.01 = 305.18/x
  3. Step 3: Cross multiply
    513.57x = 769.01 × 305.18
  4. Step 4: Simplify right side
    513.57x = 234,681.10
  5. Step 5: Solve for x
    x = 234,681.10/513.57
  6. Step 6: Final answer
    x = 456.96

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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.