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Finding the Fourth Proportional to 495.40, 741.84 and 277.96

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Solution

The fourth proportional to 495.40, 741.84 and 277.96 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 741.84 = 277.96 : x
  2. Step 2: Convert to fraction form
    495.40/741.84 = 277.96/x
  3. Step 3: Cross multiply
    495.40x = 741.84 × 277.96
  4. Step 4: Simplify right side
    495.40x = 206,201.85
  5. Step 5: Solve for x
    x = 206,201.85/495.40
  6. Step 6: Final answer
    x = 416.23

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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.