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Finding the Fourth Proportional to 393.78, 543.80 and 337.44

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Solution

The fourth proportional to 393.78, 543.80 and 337.44 is: 465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.78 : 543.80 = 337.44 : x
  2. Step 2: Convert to fraction form
    393.78/543.80 = 337.44/x
  3. Step 3: Cross multiply
    393.78x = 543.80 × 337.44
  4. Step 4: Simplify right side
    393.78x = 183,498.18
  5. Step 5: Solve for x
    x = 183,498.18/393.78
  6. Step 6: Final answer
    x = 465.99

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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.