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Finding the Fourth Proportional to 495.16, 738.37 and 427.12

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Solution

The fourth proportional to 495.16, 738.37 and 427.12 is: 636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 738.37 = 427.12 : x
  2. Step 2: Convert to fraction form
    495.16/738.37 = 427.12/x
  3. Step 3: Cross multiply
    495.16x = 738.37 × 427.12
  4. Step 4: Simplify right side
    495.16x = 315,372.59
  5. Step 5: Solve for x
    x = 315,372.59/495.16
  6. Step 6: Final answer
    x = 636.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.