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Finding the Fourth Proportional to 537.09, 805.77 and 342.24

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Solution

The fourth proportional to 537.09, 805.77 and 342.24 is: 513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 805.77 = 342.24 : x
  2. Step 2: Convert to fraction form
    537.09/805.77 = 342.24/x
  3. Step 3: Cross multiply
    537.09x = 805.77 × 342.24
  4. Step 4: Simplify right side
    537.09x = 275,766.72
  5. Step 5: Solve for x
    x = 275,766.72/537.09
  6. Step 6: Final answer
    x = 513.45

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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.