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Finding the Fourth Proportional to 612.14, 918.82 and 338.36

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Solution

The fourth proportional to 612.14, 918.82 and 338.36 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 918.82 = 338.36 : x
  2. Step 2: Convert to fraction form
    612.14/918.82 = 338.36/x
  3. Step 3: Cross multiply
    612.14x = 918.82 × 338.36
  4. Step 4: Simplify right side
    612.14x = 310,891.94
  5. Step 5: Solve for x
    x = 310,891.94/612.14
  6. Step 6: Final answer
    x = 507.88

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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.