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Finding the Fourth Proportional to 582.56, 874.00 and 235.81

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Solution

The fourth proportional to 582.56, 874.00 and 235.81 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 874.00 = 235.81 : x
  2. Step 2: Convert to fraction form
    582.56/874.00 = 235.81/x
  3. Step 3: Cross multiply
    582.56x = 874.00 × 235.81
  4. Step 4: Simplify right side
    582.56x = 206,096.76
  5. Step 5: Solve for x
    x = 206,096.76/582.56
  6. Step 6: Final answer
    x = 353.78

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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.