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Finding the Fourth Proportional to 538.13, 805.89 and 306.31

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Solution

The fourth proportional to 538.13, 805.89 and 306.31 is: 458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 805.89 = 306.31 : x
  2. Step 2: Convert to fraction form
    538.13/805.89 = 306.31/x
  3. Step 3: Cross multiply
    538.13x = 805.89 × 306.31
  4. Step 4: Simplify right side
    538.13x = 246,852.41
  5. Step 5: Solve for x
    x = 246,852.41/538.13
  6. Step 6: Final answer
    x = 458.73

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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.