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Finding the Fourth Proportional to 495.96, 739.57 and 461.33

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Solution

The fourth proportional to 495.96, 739.57 and 461.33 is: 687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 739.57 = 461.33 : x
  2. Step 2: Convert to fraction form
    495.96/739.57 = 461.33/x
  3. Step 3: Cross multiply
    495.96x = 739.57 × 461.33
  4. Step 4: Simplify right side
    495.96x = 341,185.83
  5. Step 5: Solve for x
    x = 341,185.83/495.96
  6. Step 6: Final answer
    x = 687.93

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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.