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Finding the Fourth Proportional to 589.52, 813.48 and 382.52

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Solution

The fourth proportional to 589.52, 813.48 and 382.52 is: 527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 813.48 = 382.52 : x
  2. Step 2: Convert to fraction form
    589.52/813.48 = 382.52/x
  3. Step 3: Cross multiply
    589.52x = 813.48 × 382.52
  4. Step 4: Simplify right side
    589.52x = 311,172.37
  5. Step 5: Solve for x
    x = 311,172.37/589.52
  6. Step 6: Final answer
    x = 527.84

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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.