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Finding the Fourth Proportional to 580.05, 869.46 and 214.60

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Solution

The fourth proportional to 580.05, 869.46 and 214.60 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 869.46 = 214.60 : x
  2. Step 2: Convert to fraction form
    580.05/869.46 = 214.60/x
  3. Step 3: Cross multiply
    580.05x = 869.46 × 214.60
  4. Step 4: Simplify right side
    580.05x = 186,586.12
  5. Step 5: Solve for x
    x = 186,586.12/580.05
  6. Step 6: Final answer
    x = 321.68

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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.