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Finding the Fourth Proportional to 495.72, 741.96 and 349.64

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Solution

The fourth proportional to 495.72, 741.96 and 349.64 is: 523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 741.96 = 349.64 : x
  2. Step 2: Convert to fraction form
    495.72/741.96 = 349.64/x
  3. Step 3: Cross multiply
    495.72x = 741.96 × 349.64
  4. Step 4: Simplify right side
    495.72x = 259,418.89
  5. Step 5: Solve for x
    x = 259,418.89/495.72
  6. Step 6: Final answer
    x = 523.32

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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.