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Finding the Fourth Proportional to 517.86, 775.76 and 312.32

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Solution

The fourth proportional to 517.86, 775.76 and 312.32 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 775.76 = 312.32 : x
  2. Step 2: Convert to fraction form
    517.86/775.76 = 312.32/x
  3. Step 3: Cross multiply
    517.86x = 775.76 × 312.32
  4. Step 4: Simplify right side
    517.86x = 242,282.27
  5. Step 5: Solve for x
    x = 242,282.27/517.86
  6. Step 6: Final answer
    x = 467.85

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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.