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Finding the Fourth Proportional to 613.71, 919.64 and 339.86

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Solution

The fourth proportional to 613.71, 919.64 and 339.86 is: 509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 919.64 = 339.86 : x
  2. Step 2: Convert to fraction form
    613.71/919.64 = 339.86/x
  3. Step 3: Cross multiply
    613.71x = 919.64 × 339.86
  4. Step 4: Simplify right side
    613.71x = 312,552.00
  5. Step 5: Solve for x
    x = 312,552.00/613.71
  6. Step 6: Final answer
    x = 509.28

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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.