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Finding the Fourth Proportional to 543.24, 814.30 and 299.25

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Solution

The fourth proportional to 543.24, 814.30 and 299.25 is: 448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 814.30 = 299.25 : x
  2. Step 2: Convert to fraction form
    543.24/814.30 = 299.25/x
  3. Step 3: Cross multiply
    543.24x = 814.30 × 299.25
  4. Step 4: Simplify right side
    543.24x = 243,679.28
  5. Step 5: Solve for x
    x = 243,679.28/543.24
  6. Step 6: Final answer
    x = 448.57

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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.