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Finding the Fourth Proportional to 393.60, 543.84 and 311.04

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Solution

The fourth proportional to 393.60, 543.84 and 311.04 is: 429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 543.84 = 311.04 : x
  2. Step 2: Convert to fraction form
    393.60/543.84 = 311.04/x
  3. Step 3: Cross multiply
    393.60x = 543.84 × 311.04
  4. Step 4: Simplify right side
    393.60x = 169,155.99
  5. Step 5: Solve for x
    x = 169,155.99/393.60
  6. Step 6: Final answer
    x = 429.77

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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.