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Finding the Fourth Proportional to 517.64, 776.63 and 193.05

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Solution

The fourth proportional to 517.64, 776.63 and 193.05 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 776.63 = 193.05 : x
  2. Step 2: Convert to fraction form
    517.64/776.63 = 193.05/x
  3. Step 3: Cross multiply
    517.64x = 776.63 × 193.05
  4. Step 4: Simplify right side
    517.64x = 149,928.90
  5. Step 5: Solve for x
    x = 149,928.90/517.64
  6. Step 6: Final answer
    x = 289.64

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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.