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Finding the Fourth Proportional to 589.13, 813 and 327.14

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Solution

The fourth proportional to 589.13, 813 and 327.14 is: 451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 813 = 327.14 : x
  2. Step 2: Convert to fraction form
    589.13/813 = 327.14/x
  3. Step 3: Cross multiply
    589.13x = 813 × 327.14
  4. Step 4: Simplify right side
    589.13x = 265,960.76
  5. Step 5: Solve for x
    x = 265,960.76/589.13
  6. Step 6: Final answer
    x = 451.45

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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.