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Finding the Fourth Proportional to 467.88, 700.39 and 312.56

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Solution

The fourth proportional to 467.88, 700.39 and 312.56 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.88 : 700.39 = 312.56 : x
  2. Step 2: Convert to fraction form
    467.88/700.39 = 312.56/x
  3. Step 3: Cross multiply
    467.88x = 700.39 × 312.56
  4. Step 4: Simplify right side
    467.88x = 218,913.90
  5. Step 5: Solve for x
    x = 218,913.90/467.88
  6. Step 6: Final answer
    x = 467.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.