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Finding the Fourth Proportional to 475.66, 712.14 and 312.85

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Solution

The fourth proportional to 475.66, 712.14 and 312.85 is: 468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.66 : 712.14 = 312.85 : x
  2. Step 2: Convert to fraction form
    475.66/712.14 = 312.85/x
  3. Step 3: Cross multiply
    475.66x = 712.14 × 312.85
  4. Step 4: Simplify right side
    475.66x = 222,793.00
  5. Step 5: Solve for x
    x = 222,793.00/475.66
  6. Step 6: Final answer
    x = 468.39

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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.