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Finding the Fourth Proportional to 580.38, 869.84 and 414.99

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Solution

The fourth proportional to 580.38, 869.84 and 414.99 is: 621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.38 : 869.84 = 414.99 : x
  2. Step 2: Convert to fraction form
    580.38/869.84 = 414.99/x
  3. Step 3: Cross multiply
    580.38x = 869.84 × 414.99
  4. Step 4: Simplify right side
    580.38x = 360,975.94
  5. Step 5: Solve for x
    x = 360,975.94/580.38
  6. Step 6: Final answer
    x = 621.96

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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.