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Finding the Fourth Proportional to 495.54, 739.17 and 461.52

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Solution

The fourth proportional to 495.54, 739.17 and 461.52 is: 688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.54 : 739.17 = 461.52 : x
  2. Step 2: Convert to fraction form
    495.54/739.17 = 461.52/x
  3. Step 3: Cross multiply
    495.54x = 739.17 × 461.52
  4. Step 4: Simplify right side
    495.54x = 341,141.74
  5. Step 5: Solve for x
    x = 341,141.74/495.54
  6. Step 6: Final answer
    x = 688.42

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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.