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Finding the Fourth Proportional to 514.20, 770.58 and 385.80

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Solution

The fourth proportional to 514.20, 770.58 and 385.80 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 770.58 = 385.80 : x
  2. Step 2: Convert to fraction form
    514.20/770.58 = 385.80/x
  3. Step 3: Cross multiply
    514.20x = 770.58 × 385.80
  4. Step 4: Simplify right side
    514.20x = 297,289.76
  5. Step 5: Solve for x
    x = 297,289.76/514.20
  6. Step 6: Final answer
    x = 578.16

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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.