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Finding the Fourth Proportional to 494.80, 741.24 and 364.72

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Solution

The fourth proportional to 494.80, 741.24 and 364.72 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.80 : 741.24 = 364.72 : x
  2. Step 2: Convert to fraction form
    494.80/741.24 = 364.72/x
  3. Step 3: Cross multiply
    494.80x = 741.24 × 364.72
  4. Step 4: Simplify right side
    494.80x = 270,345.05
  5. Step 5: Solve for x
    x = 270,345.05/494.80
  6. Step 6: Final answer
    x = 546.37

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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.