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Finding the Fourth Proportional to 580.67, 870.24 and 306.69

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Solution

The fourth proportional to 580.67, 870.24 and 306.69 is: 459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 870.24 = 306.69 : x
  2. Step 2: Convert to fraction form
    580.67/870.24 = 306.69/x
  3. Step 3: Cross multiply
    580.67x = 870.24 × 306.69
  4. Step 4: Simplify right side
    580.67x = 266,891.79
  5. Step 5: Solve for x
    x = 266,891.79/580.67
  6. Step 6: Final answer
    x = 459.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.