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Finding the Fourth Proportional to 589.72, 814.96 and 484.64

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Solution

The fourth proportional to 589.72, 814.96 and 484.64 is: 669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 814.96 = 484.64 : x
  2. Step 2: Convert to fraction form
    589.72/814.96 = 484.64/x
  3. Step 3: Cross multiply
    589.72x = 814.96 × 484.64
  4. Step 4: Simplify right side
    589.72x = 394,962.21
  5. Step 5: Solve for x
    x = 394,962.21/589.72
  6. Step 6: Final answer
    x = 669.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.