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Finding the Fourth Proportional to 589.73, 813.44 and 459.05

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Solution

The fourth proportional to 589.73, 813.44 and 459.05 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.73 : 813.44 = 459.05 : x
  2. Step 2: Convert to fraction form
    589.73/813.44 = 459.05/x
  3. Step 3: Cross multiply
    589.73x = 813.44 × 459.05
  4. Step 4: Simplify right side
    589.73x = 373,406.71
  5. Step 5: Solve for x
    x = 373,406.71/589.73
  6. Step 6: Final answer
    x = 633.19

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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.