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Finding the Fourth Proportional to 580.33, 869.26 and 464.89

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Solution

The fourth proportional to 580.33, 869.26 and 464.89 is: 696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.33 : 869.26 = 464.89 : x
  2. Step 2: Convert to fraction form
    580.33/869.26 = 464.89/x
  3. Step 3: Cross multiply
    580.33x = 869.26 × 464.89
  4. Step 4: Simplify right side
    580.33x = 404,110.28
  5. Step 5: Solve for x
    x = 404,110.28/580.33
  6. Step 6: Final answer
    x = 696.35

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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.