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Finding the Fourth Proportional to 543.36, 814.08 and 523.20

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Solution

The fourth proportional to 543.36, 814.08 and 523.20 is: 783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 814.08 = 523.20 : x
  2. Step 2: Convert to fraction form
    543.36/814.08 = 523.20/x
  3. Step 3: Cross multiply
    543.36x = 814.08 × 523.20
  4. Step 4: Simplify right side
    543.36x = 425,926.66
  5. Step 5: Solve for x
    x = 425,926.66/543.36
  6. Step 6: Final answer
    x = 783.88

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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.