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Finding the Fourth Proportional to 517.53, 776.19 and 270.46

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Solution

The fourth proportional to 517.53, 776.19 and 270.46 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 776.19 = 270.46 : x
  2. Step 2: Convert to fraction form
    517.53/776.19 = 270.46/x
  3. Step 3: Cross multiply
    517.53x = 776.19 × 270.46
  4. Step 4: Simplify right side
    517.53x = 209,930.29
  5. Step 5: Solve for x
    x = 209,930.29/517.53
  6. Step 6: Final answer
    x = 405.64

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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.