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Finding the Fourth Proportional to 475.37, 712.75 and 312.56

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Solution

The fourth proportional to 475.37, 712.75 and 312.56 is: 468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.37 : 712.75 = 312.56 : x
  2. Step 2: Convert to fraction form
    475.37/712.75 = 312.56/x
  3. Step 3: Cross multiply
    475.37x = 712.75 × 312.56
  4. Step 4: Simplify right side
    475.37x = 222,776.36
  5. Step 5: Solve for x
    x = 222,776.36/475.37
  6. Step 6: Final answer
    x = 468.64

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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.