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Finding the Fourth Proportional to 348.84, 482.15 and 261.36

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Solution

The fourth proportional to 348.84, 482.15 and 261.36 is: 361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.84 : 482.15 = 261.36 : x
  2. Step 2: Convert to fraction form
    348.84/482.15 = 261.36/x
  3. Step 3: Cross multiply
    348.84x = 482.15 × 261.36
  4. Step 4: Simplify right side
    348.84x = 126,015.38
  5. Step 5: Solve for x
    x = 126,015.38/348.84
  6. Step 6: Final answer
    x = 361.24

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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.