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Finding the Fourth Proportional to 393.83, 543.16 and 310.80

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Solution

The fourth proportional to 393.83, 543.16 and 310.80 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.83 : 543.16 = 310.80 : x
  2. Step 2: Convert to fraction form
    393.83/543.16 = 310.80/x
  3. Step 3: Cross multiply
    393.83x = 543.16 × 310.80
  4. Step 4: Simplify right side
    393.83x = 168,814.81
  5. Step 5: Solve for x
    x = 168,814.81/393.83
  6. Step 6: Final answer
    x = 428.65

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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.