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Finding the Fourth Proportional to 514.35, 770.62 and 428.23

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Solution

The fourth proportional to 514.35, 770.62 and 428.23 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.35 : 770.62 = 428.23 : x
  2. Step 2: Convert to fraction form
    514.35/770.62 = 428.23/x
  3. Step 3: Cross multiply
    514.35x = 770.62 × 428.23
  4. Step 4: Simplify right side
    514.35x = 330,004.74
  5. Step 5: Solve for x
    x = 330,004.74/514.35
  6. Step 6: Final answer
    x = 641.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.