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Finding the Fourth Proportional to 582.54, 873.60 and 235.78

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Solution

The fourth proportional to 582.54, 873.60 and 235.78 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 873.60 = 235.78 : x
  2. Step 2: Convert to fraction form
    582.54/873.60 = 235.78/x
  3. Step 3: Cross multiply
    582.54x = 873.60 × 235.78
  4. Step 4: Simplify right side
    582.54x = 205,977.41
  5. Step 5: Solve for x
    x = 205,977.41/582.54
  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.