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Finding the Fourth Proportional to 582.24, 873.48 and 321.84

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Solution

The fourth proportional to 582.24, 873.48 and 321.84 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 873.48 = 321.84 : x
  2. Step 2: Convert to fraction form
    582.24/873.48 = 321.84/x
  3. Step 3: Cross multiply
    582.24x = 873.48 × 321.84
  4. Step 4: Simplify right side
    582.24x = 281,120.80
  5. Step 5: Solve for x
    x = 281,120.80/582.24
  6. Step 6: Final answer
    x = 482.83

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Why These Related Problems?

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