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Finding the Fourth Proportional to 393.57, 589.10 and 210.41

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Solution

The fourth proportional to 393.57, 589.10 and 210.41 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.57 : 589.10 = 210.41 : x
  2. Step 2: Convert to fraction form
    393.57/589.10 = 210.41/x
  3. Step 3: Cross multiply
    393.57x = 589.10 × 210.41
  4. Step 4: Simplify right side
    393.57x = 123,948.53
  5. Step 5: Solve for x
    x = 123,948.53/393.57
  6. Step 6: Final answer
    x = 314.93

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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.