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Finding the Fourth Proportional to 495.92, 744.36 and 359.84

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Solution

The fourth proportional to 495.92, 744.36 and 359.84 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 744.36 = 359.84 : x
  2. Step 2: Convert to fraction form
    495.92/744.36 = 359.84/x
  3. Step 3: Cross multiply
    495.92x = 744.36 × 359.84
  4. Step 4: Simplify right side
    495.92x = 267,850.50
  5. Step 5: Solve for x
    x = 267,850.50/495.92
  6. Step 6: Final answer
    x = 540.11

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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.