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Finding the Fourth Proportional to 517.96, 776.94 and 152.78

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Solution

The fourth proportional to 517.96, 776.94 and 152.78 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 776.94 = 152.78 : x
  2. Step 2: Convert to fraction form
    517.96/776.94 = 152.78/x
  3. Step 3: Cross multiply
    517.96x = 776.94 × 152.78
  4. Step 4: Simplify right side
    517.96x = 118,700.89
  5. Step 5: Solve for x
    x = 118,700.89/517.96
  6. Step 6: Final answer
    x = 229.17

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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.