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Finding the Fourth Proportional to 589.60, 813.59 and 324.00

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Solution

The fourth proportional to 589.60, 813.59 and 324.00 is: 447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 813.59 = 324.00 : x
  2. Step 2: Convert to fraction form
    589.60/813.59 = 324.00/x
  3. Step 3: Cross multiply
    589.60x = 813.59 × 324.00
  4. Step 4: Simplify right side
    589.60x = 263,599.09
  5. Step 5: Solve for x
    x = 263,599.09/589.60
  6. Step 6: Final answer
    x = 447.08

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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.