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Finding the Fourth Proportional to 543.71, 814.00 and 509.22

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Solution

The fourth proportional to 543.71, 814.00 and 509.22 is: 762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.71 : 814.00 = 509.22 : x
  2. Step 2: Convert to fraction form
    543.71/814.00 = 509.22/x
  3. Step 3: Cross multiply
    543.71x = 814.00 × 509.22
  4. Step 4: Simplify right side
    543.71x = 414,506.35
  5. Step 5: Solve for x
    x = 414,506.35/543.71
  6. Step 6: Final answer
    x = 762.37

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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.