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Finding the Fourth Proportional to 580.66, 869.18 and 433.56

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Solution

The fourth proportional to 580.66, 869.18 and 433.56 is: 648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 869.18 = 433.56 : x
  2. Step 2: Convert to fraction form
    580.66/869.18 = 433.56/x
  3. Step 3: Cross multiply
    580.66x = 869.18 × 433.56
  4. Step 4: Simplify right side
    580.66x = 376,841.68
  5. Step 5: Solve for x
    x = 376,841.68/580.66
  6. Step 6: Final answer
    x = 648.99

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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.