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Finding the Fourth Proportional to 493.29, 681.01 and 306.94

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Solution

The fourth proportional to 493.29, 681.01 and 306.94 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 681.01 = 306.94 : x
  2. Step 2: Convert to fraction form
    493.29/681.01 = 306.94/x
  3. Step 3: Cross multiply
    493.29x = 681.01 × 306.94
  4. Step 4: Simplify right side
    493.29x = 209,028.02
  5. Step 5: Solve for x
    x = 209,028.02/493.29
  6. Step 6: Final answer
    x = 423.74

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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.