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Finding the Fourth Proportional to 348.73, 524.84 and 262.51

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Solution

The fourth proportional to 348.73, 524.84 and 262.51 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.73 : 524.84 = 262.51 : x
  2. Step 2: Convert to fraction form
    348.73/524.84 = 262.51/x
  3. Step 3: Cross multiply
    348.73x = 524.84 × 262.51
  4. Step 4: Simplify right side
    348.73x = 137,775.75
  5. Step 5: Solve for x
    x = 137,775.75/348.73
  6. Step 6: Final answer
    x = 395.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.