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Finding the Fourth Proportional to 582.30, 873.02 and 273.99

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Solution

The fourth proportional to 582.30, 873.02 and 273.99 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.30 : 873.02 = 273.99 : x
  2. Step 2: Convert to fraction form
    582.30/873.02 = 273.99/x
  3. Step 3: Cross multiply
    582.30x = 873.02 × 273.99
  4. Step 4: Simplify right side
    582.30x = 239,197.38
  5. Step 5: Solve for x
    x = 239,197.38/582.30
  6. Step 6: Final answer
    x = 410.78

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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.