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Finding the Fourth Proportional to 542.50, 814.96 and 326.23

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Solution

The fourth proportional to 542.50, 814.96 and 326.23 is: 490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 814.96 = 326.23 : x
  2. Step 2: Convert to fraction form
    542.50/814.96 = 326.23/x
  3. Step 3: Cross multiply
    542.50x = 814.96 × 326.23
  4. Step 4: Simplify right side
    542.50x = 265,862.77
  5. Step 5: Solve for x
    x = 265,862.77/542.50
  6. Step 6: Final answer
    x = 490.07

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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.