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Finding the Fourth Proportional to 343.52, 514.56 and 285.60

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Solution

The fourth proportional to 343.52, 514.56 and 285.60 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 514.56 = 285.60 : x
  2. Step 2: Convert to fraction form
    343.52/514.56 = 285.60/x
  3. Step 3: Cross multiply
    343.52x = 514.56 × 285.60
  4. Step 4: Simplify right side
    343.52x = 146,958.34
  5. Step 5: Solve for x
    x = 146,958.34/343.52
  6. Step 6: Final answer
    x = 427.80

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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.