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Finding the Fourth Proportional to 382.53, 575.86 and 348.51

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Solution

The fourth proportional to 382.53, 575.86 and 348.51 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.53 : 575.86 = 348.51 : x
  2. Step 2: Convert to fraction form
    382.53/575.86 = 348.51/x
  3. Step 3: Cross multiply
    382.53x = 575.86 × 348.51
  4. Step 4: Simplify right side
    382.53x = 200,692.97
  5. Step 5: Solve for x
    x = 200,692.97/382.53
  6. Step 6: Final answer
    x = 524.65

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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.