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Finding the Fourth Proportional to 612.88, 919.46 and 339.37

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Solution

The fourth proportional to 612.88, 919.46 and 339.37 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.88 : 919.46 = 339.37 : x
  2. Step 2: Convert to fraction form
    612.88/919.46 = 339.37/x
  3. Step 3: Cross multiply
    612.88x = 919.46 × 339.37
  4. Step 4: Simplify right side
    612.88x = 312,035.44
  5. Step 5: Solve for x
    x = 312,035.44/612.88
  6. Step 6: Final answer
    x = 509.13

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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.