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Finding the Fourth Proportional to 393.12, 543.60 and 338.40

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Solution

The fourth proportional to 393.12, 543.60 and 338.40 is: 467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 543.60 = 338.40 : x
  2. Step 2: Convert to fraction form
    393.12/543.60 = 338.40/x
  3. Step 3: Cross multiply
    393.12x = 543.60 × 338.40
  4. Step 4: Simplify right side
    393.12x = 183,954.24
  5. Step 5: Solve for x
    x = 183,954.24/393.12
  6. Step 6: Final answer
    x = 467.93

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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.