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Finding the Fourth Proportional to 344.30, 505.35 and 344.30

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Solution

The fourth proportional to 344.30, 505.35 and 344.30 is: 505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 505.35 = 344.30 : x
  2. Step 2: Convert to fraction form
    344.30/505.35 = 344.30/x
  3. Step 3: Cross multiply
    344.30x = 505.35 × 344.30
  4. Step 4: Simplify right side
    344.30x = 173,992.01
  5. Step 5: Solve for x
    x = 173,992.01/344.30
  6. Step 6: Final answer
    x = 505.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.