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Finding the Fourth Proportional to 582.29, 872.78 and 321.98

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Solution

The fourth proportional to 582.29, 872.78 and 321.98 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 872.78 = 321.98 : x
  2. Step 2: Convert to fraction form
    582.29/872.78 = 321.98/x
  3. Step 3: Cross multiply
    582.29x = 872.78 × 321.98
  4. Step 4: Simplify right side
    582.29x = 281,011.73
  5. Step 5: Solve for x
    x = 281,011.73/582.29
  6. Step 6: Final answer
    x = 482.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.