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Finding the Fourth Proportional to 344.40, 474.71 and 278.79

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Solution

The fourth proportional to 344.40, 474.71 and 278.79 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 474.71 = 278.79 : x
  2. Step 2: Convert to fraction form
    344.40/474.71 = 278.79/x
  3. Step 3: Cross multiply
    344.40x = 474.71 × 278.79
  4. Step 4: Simplify right side
    344.40x = 132,343.01
  5. Step 5: Solve for x
    x = 132,343.01/344.40
  6. Step 6: Final answer
    x = 384.27

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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.