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Finding the Fourth Proportional to 493.46, 681 and 296.98

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Solution

The fourth proportional to 493.46, 681 and 296.98 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.46 : 681 = 296.98 : x
  2. Step 2: Convert to fraction form
    493.46/681 = 296.98/x
  3. Step 3: Cross multiply
    493.46x = 681 × 296.98
  4. Step 4: Simplify right side
    493.46x = 202,243.38
  5. Step 5: Solve for x
    x = 202,243.38/493.46
  6. Step 6: Final answer
    x = 409.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.