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Finding the Fourth Proportional to 346.40, 477.46 and 280.79

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Solution

The fourth proportional to 346.40, 477.46 and 280.79 is: 387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 477.46 = 280.79 : x
  2. Step 2: Convert to fraction form
    346.40/477.46 = 280.79/x
  3. Step 3: Cross multiply
    346.40x = 477.46 × 280.79
  4. Step 4: Simplify right side
    346.40x = 134,065.99
  5. Step 5: Solve for x
    x = 134,065.99/346.40
  6. Step 6: Final answer
    x = 387.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.