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Finding the Fourth Proportional to 582.68, 873.36 and 235.91

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Solution

The fourth proportional to 582.68, 873.36 and 235.91 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.68 : 873.36 = 235.91 : x
  2. Step 2: Convert to fraction form
    582.68/873.36 = 235.91/x
  3. Step 3: Cross multiply
    582.68x = 873.36 × 235.91
  4. Step 4: Simplify right side
    582.68x = 206,029.99
  5. Step 5: Solve for x
    x = 206,029.99/582.68
  6. Step 6: Final answer
    x = 353.59

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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.