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Finding the Fourth Proportional to 612.52, 918.44 and 338.56

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Solution

The fourth proportional to 612.52, 918.44 and 338.56 is: 507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 918.44 = 338.56 : x
  2. Step 2: Convert to fraction form
    612.52/918.44 = 338.56/x
  3. Step 3: Cross multiply
    612.52x = 918.44 × 338.56
  4. Step 4: Simplify right side
    612.52x = 310,947.05
  5. Step 5: Solve for x
    x = 310,947.05/612.52
  6. Step 6: Final answer
    x = 507.65

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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.