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Finding the Fourth Proportional to 543.03, 814.41 and 456.43

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Solution

The fourth proportional to 543.03, 814.41 and 456.43 is: 684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.03 : 814.41 = 456.43 : x
  2. Step 2: Convert to fraction form
    543.03/814.41 = 456.43/x
  3. Step 3: Cross multiply
    543.03x = 814.41 × 456.43
  4. Step 4: Simplify right side
    543.03x = 371,719.12
  5. Step 5: Solve for x
    x = 371,719.12/543.03
  6. Step 6: Final answer
    x = 684.53

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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.