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Finding the Fourth Proportional to 580.44, 869.73 and 464.28

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Solution

The fourth proportional to 580.44, 869.73 and 464.28 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.44 : 869.73 = 464.28 : x
  2. Step 2: Convert to fraction form
    580.44/869.73 = 464.28/x
  3. Step 3: Cross multiply
    580.44x = 869.73 × 464.28
  4. Step 4: Simplify right side
    580.44x = 403,798.24
  5. Step 5: Solve for x
    x = 403,798.24/580.44
  6. Step 6: Final answer
    x = 695.68

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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.