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Finding the Fourth Proportional to 543.28, 813.42 and 465.88

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Solution

The fourth proportional to 543.28, 813.42 and 465.88 is: 697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.28 : 813.42 = 465.88 : x
  2. Step 2: Convert to fraction form
    543.28/813.42 = 465.88/x
  3. Step 3: Cross multiply
    543.28x = 813.42 × 465.88
  4. Step 4: Simplify right side
    543.28x = 378,956.11
  5. Step 5: Solve for x
    x = 378,956.11/543.28
  6. Step 6: Final answer
    x = 697.53

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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.