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Finding the Fourth Proportional to 517.95, 776.10 and 414.69

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Solution

The fourth proportional to 517.95, 776.10 and 414.69 is: 621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 776.10 = 414.69 : x
  2. Step 2: Convert to fraction form
    517.95/776.10 = 414.69/x
  3. Step 3: Cross multiply
    517.95x = 776.10 × 414.69
  4. Step 4: Simplify right side
    517.95x = 321,840.91
  5. Step 5: Solve for x
    x = 321,840.91/517.95
  6. Step 6: Final answer
    x = 621.37

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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.