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Finding the Fourth Proportional to 389.25, 580.99 and 362.16

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Solution

The fourth proportional to 389.25, 580.99 and 362.16 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.25 : 580.99 = 362.16 : x
  2. Step 2: Convert to fraction form
    389.25/580.99 = 362.16/x
  3. Step 3: Cross multiply
    389.25x = 580.99 × 362.16
  4. Step 4: Simplify right side
    389.25x = 210,411.34
  5. Step 5: Solve for x
    x = 210,411.34/389.25
  6. Step 6: Final answer
    x = 540.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.