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Finding the Fourth Proportional to 537.31, 805.24 and 306.33

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Solution

The fourth proportional to 537.31, 805.24 and 306.33 is: 459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.31 : 805.24 = 306.33 : x
  2. Step 2: Convert to fraction form
    537.31/805.24 = 306.33/x
  3. Step 3: Cross multiply
    537.31x = 805.24 × 306.33
  4. Step 4: Simplify right side
    537.31x = 246,669.17
  5. Step 5: Solve for x
    x = 246,669.17/537.31
  6. Step 6: Final answer
    x = 459.08

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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.