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Finding the Fourth Proportional to 517.70, 776.27 and 152.43

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Solution

The fourth proportional to 517.70, 776.27 and 152.43 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 776.27 = 152.43 : x
  2. Step 2: Convert to fraction form
    517.70/776.27 = 152.43/x
  3. Step 3: Cross multiply
    517.70x = 776.27 × 152.43
  4. Step 4: Simplify right side
    517.70x = 118,326.65
  5. Step 5: Solve for x
    x = 118,326.65/517.70
  6. Step 6: Final answer
    x = 228.56

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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.