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Finding the Fourth Proportional to 517.39, 776.30 and 312.11

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Solution

The fourth proportional to 517.39, 776.30 and 312.11 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 776.30 = 312.11 : x
  2. Step 2: Convert to fraction form
    517.39/776.30 = 312.11/x
  3. Step 3: Cross multiply
    517.39x = 776.30 × 312.11
  4. Step 4: Simplify right side
    517.39x = 242,290.99
  5. Step 5: Solve for x
    x = 242,290.99/517.39
  6. Step 6: Final answer
    x = 468.29

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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.