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Finding the Fourth Proportional to 592.72, 819.39 and 538.72

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Solution

The fourth proportional to 592.72, 819.39 and 538.72 is: 744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.72 : 819.39 = 538.72 : x
  2. Step 2: Convert to fraction form
    592.72/819.39 = 538.72/x
  3. Step 3: Cross multiply
    592.72x = 819.39 × 538.72
  4. Step 4: Simplify right side
    592.72x = 441,421.78
  5. Step 5: Solve for x
    x = 441,421.78/592.72
  6. Step 6: Final answer
    x = 744.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.