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Finding the Fourth Proportional to 348.56, 480.96 and 296.72

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Solution

The fourth proportional to 348.56, 480.96 and 296.72 is: 409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.56 : 480.96 = 296.72 : x
  2. Step 2: Convert to fraction form
    348.56/480.96 = 296.72/x
  3. Step 3: Cross multiply
    348.56x = 480.96 × 296.72
  4. Step 4: Simplify right side
    348.56x = 142,710.45
  5. Step 5: Solve for x
    x = 142,710.45/348.56
  6. Step 6: Final answer
    x = 409.43

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Why These Related Problems?

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