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Finding the Fourth Proportional to 580.93, 869.68 and 306.43

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Solution

The fourth proportional to 580.93, 869.68 and 306.43 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.93 : 869.68 = 306.43 : x
  2. Step 2: Convert to fraction form
    580.93/869.68 = 306.43/x
  3. Step 3: Cross multiply
    580.93x = 869.68 × 306.43
  4. Step 4: Simplify right side
    580.93x = 266,496.04
  5. Step 5: Solve for x
    x = 266,496.04/580.93
  6. Step 6: Final answer
    x = 458.74

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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.