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Finding the Fourth Proportional to 582.17, 877.24 and 481.67

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Solution

The fourth proportional to 582.17, 877.24 and 481.67 is: 725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.17 : 877.24 = 481.67 : x
  2. Step 2: Convert to fraction form
    582.17/877.24 = 481.67/x
  3. Step 3: Cross multiply
    582.17x = 877.24 × 481.67
  4. Step 4: Simplify right side
    582.17x = 422,537.78
  5. Step 5: Solve for x
    x = 422,537.78/582.17
  6. Step 6: Final answer
    x = 725.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.