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Finding the Fourth Proportional to 589.46, 813.42 and 327.50

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Solution

The fourth proportional to 589.46, 813.42 and 327.50 is: 451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 813.42 = 327.50 : x
  2. Step 2: Convert to fraction form
    589.46/813.42 = 327.50/x
  3. Step 3: Cross multiply
    589.46x = 813.42 × 327.50
  4. Step 4: Simplify right side
    589.46x = 266,390.98
  5. Step 5: Solve for x
    x = 266,390.98/589.46
  6. Step 6: Final answer
    x = 451.93

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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.