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Finding the Fourth Proportional to 517.64, 776.46 and 225.13

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Solution

The fourth proportional to 517.64, 776.46 and 225.13 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 776.46 = 225.13 : x
  2. Step 2: Convert to fraction form
    517.64/776.46 = 225.13/x
  3. Step 3: Cross multiply
    517.64x = 776.46 × 225.13
  4. Step 4: Simplify right side
    517.64x = 174,804.44
  5. Step 5: Solve for x
    x = 174,804.44/517.64
  6. Step 6: Final answer
    x = 337.70

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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.