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Finding the Fourth Proportional to 580.73, 869.94 and 306.14

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Solution

The fourth proportional to 580.73, 869.94 and 306.14 is: 458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.73 : 869.94 = 306.14 : x
  2. Step 2: Convert to fraction form
    580.73/869.94 = 306.14/x
  3. Step 3: Cross multiply
    580.73x = 869.94 × 306.14
  4. Step 4: Simplify right side
    580.73x = 266,319.08
  5. Step 5: Solve for x
    x = 266,319.08/580.73
  6. Step 6: Final answer
    x = 458.60

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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.