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Finding the Fourth Proportional to 517.54, 776.58 and 274.09

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Solution

The fourth proportional to 517.54, 776.58 and 274.09 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.54 : 776.58 = 274.09 : x
  2. Step 2: Convert to fraction form
    517.54/776.58 = 274.09/x
  3. Step 3: Cross multiply
    517.54x = 776.58 × 274.09
  4. Step 4: Simplify right side
    517.54x = 212,852.81
  5. Step 5: Solve for x
    x = 212,852.81/517.54
  6. Step 6: Final answer
    x = 411.28

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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.