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Finding the Fourth Proportional to 517.61, 776.81 and 312.41

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Solution

The fourth proportional to 517.61, 776.81 and 312.41 is: 468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.61 : 776.81 = 312.41 : x
  2. Step 2: Convert to fraction form
    517.61/776.81 = 312.41/x
  3. Step 3: Cross multiply
    517.61x = 776.81 × 312.41
  4. Step 4: Simplify right side
    517.61x = 242,680.11
  5. Step 5: Solve for x
    x = 242,680.11/517.61
  6. Step 6: Final answer
    x = 468.85

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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.