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Finding the Fourth Proportional to 612.83, 919.29 and 339.05

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Solution

The fourth proportional to 612.83, 919.29 and 339.05 is: 508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 919.29 = 339.05 : x
  2. Step 2: Convert to fraction form
    612.83/919.29 = 339.05/x
  3. Step 3: Cross multiply
    612.83x = 919.29 × 339.05
  4. Step 4: Simplify right side
    612.83x = 311,685.27
  5. Step 5: Solve for x
    x = 311,685.27/612.83
  6. Step 6: Final answer
    x = 508.60

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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.