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Finding the Fourth Proportional to 346.14, 517.86 and 280.80

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Solution

The fourth proportional to 346.14, 517.86 and 280.80 is: 420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 517.86 = 280.80 : x
  2. Step 2: Convert to fraction form
    346.14/517.86 = 280.80/x
  3. Step 3: Cross multiply
    346.14x = 517.86 × 280.80
  4. Step 4: Simplify right side
    346.14x = 145,415.09
  5. Step 5: Solve for x
    x = 145,415.09/346.14
  6. Step 6: Final answer
    x = 420.10

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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.