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Finding the Fourth Proportional to 514.29, 770.20 and 282.84

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Solution

The fourth proportional to 514.29, 770.20 and 282.84 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.29 : 770.20 = 282.84 : x
  2. Step 2: Convert to fraction form
    514.29/770.20 = 282.84/x
  3. Step 3: Cross multiply
    514.29x = 770.20 × 282.84
  4. Step 4: Simplify right side
    514.29x = 217,843.37
  5. Step 5: Solve for x
    x = 217,843.37/514.29
  6. Step 6: Final answer
    x = 423.58

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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.