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Finding the Fourth Proportional to 584.20, 804.49 and 472.83

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Solution

The fourth proportional to 584.20, 804.49 and 472.83 is: 651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 804.49 = 472.83 : x
  2. Step 2: Convert to fraction form
    584.20/804.49 = 472.83/x
  3. Step 3: Cross multiply
    584.20x = 804.49 × 472.83
  4. Step 4: Simplify right side
    584.20x = 380,387.01
  5. Step 5: Solve for x
    x = 380,387.01/584.20
  6. Step 6: Final answer
    x = 651.12

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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.