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Finding the Fourth Proportional to 591.06, 813.42 and 472.62

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Solution

The fourth proportional to 591.06, 813.42 and 472.62 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 813.42 = 472.62 : x
  2. Step 2: Convert to fraction form
    591.06/813.42 = 472.62/x
  3. Step 3: Cross multiply
    591.06x = 813.42 × 472.62
  4. Step 4: Simplify right side
    591.06x = 384,438.56
  5. Step 5: Solve for x
    x = 384,438.56/591.06
  6. Step 6: Final answer
    x = 650.42

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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.