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Finding the Fourth Proportional to 344.36, 513.32 and 339.08

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Solution

The fourth proportional to 344.36, 513.32 and 339.08 is: 505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 513.32 = 339.08 : x
  2. Step 2: Convert to fraction form
    344.36/513.32 = 339.08/x
  3. Step 3: Cross multiply
    344.36x = 513.32 × 339.08
  4. Step 4: Simplify right side
    344.36x = 174,056.55
  5. Step 5: Solve for x
    x = 174,056.55/344.36
  6. Step 6: Final answer
    x = 505.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.