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Finding the Fourth Proportional to 495.28, 741.16 and 364.97

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Solution

The fourth proportional to 495.28, 741.16 and 364.97 is: 546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 741.16 = 364.97 : x
  2. Step 2: Convert to fraction form
    495.28/741.16 = 364.97/x
  3. Step 3: Cross multiply
    495.28x = 741.16 × 364.97
  4. Step 4: Simplify right side
    495.28x = 270,495.63
  5. Step 5: Solve for x
    x = 270,495.63/495.28
  6. Step 6: Final answer
    x = 546.15

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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.