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Finding the Fourth Proportional to 514, 770.52 and 417.76

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Solution

The fourth proportional to 514, 770.52 and 417.76 is: 626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 770.52 = 417.76 : x
  2. Step 2: Convert to fraction form
    514/770.52 = 417.76/x
  3. Step 3: Cross multiply
    514x = 770.52 × 417.76
  4. Step 4: Simplify right side
    514x = 321,892.44
  5. Step 5: Solve for x
    x = 321,892.44/514
  6. Step 6: Final answer
    x = 626.25

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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.