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Finding the Fourth Proportional to 589.91, 812.81 and 484.64

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Solution

The fourth proportional to 589.91, 812.81 and 484.64 is: 667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.91 : 812.81 = 484.64 : x
  2. Step 2: Convert to fraction form
    589.91/812.81 = 484.64/x
  3. Step 3: Cross multiply
    589.91x = 812.81 × 484.64
  4. Step 4: Simplify right side
    589.91x = 393,913.75
  5. Step 5: Solve for x
    x = 393,913.75/589.91
  6. Step 6: Final answer
    x = 667.76

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