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Finding the Fourth Proportional to 393.12, 589.32 and 210.24

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Solution

The fourth proportional to 393.12, 589.32 and 210.24 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 589.32 = 210.24 : x
  2. Step 2: Convert to fraction form
    393.12/589.32 = 210.24/x
  3. Step 3: Cross multiply
    393.12x = 589.32 × 210.24
  4. Step 4: Simplify right side
    393.12x = 123,898.64
  5. Step 5: Solve for x
    x = 123,898.64/393.12
  6. Step 6: Final answer
    x = 315.17

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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.