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Finding the Fourth Proportional to 596.86, 821.98 and 584.14

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Solution

The fourth proportional to 596.86, 821.98 and 584.14 is: 804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.86 : 821.98 = 584.14 : x
  2. Step 2: Convert to fraction form
    596.86/821.98 = 584.14/x
  3. Step 3: Cross multiply
    596.86x = 821.98 × 584.14
  4. Step 4: Simplify right side
    596.86x = 480,151.40
  5. Step 5: Solve for x
    x = 480,151.40/596.86
  6. Step 6: Final answer
    x = 804.46

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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.