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Finding the Fourth Proportional to 494.64, 742.50 and 364.23

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Solution

The fourth proportional to 494.64, 742.50 and 364.23 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 742.50 = 364.23 : x
  2. Step 2: Convert to fraction form
    494.64/742.50 = 364.23/x
  3. Step 3: Cross multiply
    494.64x = 742.50 × 364.23
  4. Step 4: Simplify right side
    494.64x = 270,443.14
  5. Step 5: Solve for x
    x = 270,443.14/494.64
  6. Step 6: Final answer
    x = 546.75

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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.