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Finding the Fourth Proportional to 389.30, 583.07 and 324.14

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Solution

The fourth proportional to 389.30, 583.07 and 324.14 is: 485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.30 : 583.07 = 324.14 : x
  2. Step 2: Convert to fraction form
    389.30/583.07 = 324.14/x
  3. Step 3: Cross multiply
    389.30x = 583.07 × 324.14
  4. Step 4: Simplify right side
    389.30x = 188,991.77
  5. Step 5: Solve for x
    x = 188,991.77/389.30
  6. Step 6: Final answer
    x = 485.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.