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Finding the Fourth Proportional to 597.05, 819.03 and 571.85

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Solution

The fourth proportional to 597.05, 819.03 and 571.85 is: 784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.05 : 819.03 = 571.85 : x
  2. Step 2: Convert to fraction form
    597.05/819.03 = 571.85/x
  3. Step 3: Cross multiply
    597.05x = 819.03 × 571.85
  4. Step 4: Simplify right side
    597.05x = 468,362.31
  5. Step 5: Solve for x
    x = 468,362.31/597.05
  6. Step 6: Final answer
    x = 784.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.