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Finding the Fourth Proportional to 343.62, 514.98 and 282.84

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Solution

The fourth proportional to 343.62, 514.98 and 282.84 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 514.98 = 282.84 : x
  2. Step 2: Convert to fraction form
    343.62/514.98 = 282.84/x
  3. Step 3: Cross multiply
    343.62x = 514.98 × 282.84
  4. Step 4: Simplify right side
    343.62x = 145,656.94
  5. Step 5: Solve for x
    x = 145,656.94/343.62
  6. Step 6: Final answer
    x = 423.89

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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.