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Finding the Fourth Proportional to 580.10, 869.58 and 214.80

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Solution

The fourth proportional to 580.10, 869.58 and 214.80 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 869.58 = 214.80 : x
  2. Step 2: Convert to fraction form
    580.10/869.58 = 214.80/x
  3. Step 3: Cross multiply
    580.10x = 869.58 × 214.80
  4. Step 4: Simplify right side
    580.10x = 186,785.78
  5. Step 5: Solve for x
    x = 186,785.78/580.10
  6. Step 6: Final answer
    x = 321.99

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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.