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Finding the Fourth Proportional to 342.14, 512.84 and 312.06

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Solution

The fourth proportional to 342.14, 512.84 and 312.06 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 512.84 = 312.06 : x
  2. Step 2: Convert to fraction form
    342.14/512.84 = 312.06/x
  3. Step 3: Cross multiply
    342.14x = 512.84 × 312.06
  4. Step 4: Simplify right side
    342.14x = 160,036.85
  5. Step 5: Solve for x
    x = 160,036.85/342.14
  6. Step 6: Final answer
    x = 467.75

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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.