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Finding the Fourth Proportional to 348.30, 523.26 and 277.02

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Solution

The fourth proportional to 348.30, 523.26 and 277.02 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.30 : 523.26 = 277.02 : x
  2. Step 2: Convert to fraction form
    348.30/523.26 = 277.02/x
  3. Step 3: Cross multiply
    348.30x = 523.26 × 277.02
  4. Step 4: Simplify right side
    348.30x = 144,953.49
  5. Step 5: Solve for x
    x = 144,953.49/348.30
  6. Step 6: Final answer
    x = 416.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.