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Finding the Fourth Proportional to 537.05, 805.82 and 342

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Solution

The fourth proportional to 537.05, 805.82 and 342 is: 513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.05 : 805.82 = 342 : x
  2. Step 2: Convert to fraction form
    537.05/805.82 = 342/x
  3. Step 3: Cross multiply
    537.05x = 805.82 × 342
  4. Step 4: Simplify right side
    537.05x = 275,588.73
  5. Step 5: Solve for x
    x = 275,588.73/537.05
  6. Step 6: Final answer
    x = 513.15

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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.