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Finding the Fourth Proportional to 343.36, 514.74 and 285.42

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Solution

The fourth proportional to 343.36, 514.74 and 285.42 is: 427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 514.74 = 285.42 : x
  2. Step 2: Convert to fraction form
    343.36/514.74 = 285.42/x
  3. Step 3: Cross multiply
    343.36x = 514.74 × 285.42
  4. Step 4: Simplify right side
    343.36x = 146,914.52
  5. Step 5: Solve for x
    x = 146,914.52/343.36
  6. Step 6: Final answer
    x = 427.87

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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.