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Finding the Fourth Proportional to 348.84, 523.01 and 173.06

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Solution

The fourth proportional to 348.84, 523.01 and 173.06 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 523.01 = 173.06 : x
  2. Step 2: Convert to fraction form
    348.84/523.01 = 173.06/x
  3. Step 3: Cross multiply
    348.84x = 523.01 × 173.06
  4. Step 4: Simplify right side
    348.84x = 90,508.63
  5. Step 5: Solve for x
    x = 90,508.63/348.84
  6. Step 6: Final answer
    x = 259.46

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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.