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Finding the Fourth Proportional to 382.77, 528.66 and 252.36

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Solution

The fourth proportional to 382.77, 528.66 and 252.36 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 528.66 = 252.36 : x
  2. Step 2: Convert to fraction form
    382.77/528.66 = 252.36/x
  3. Step 3: Cross multiply
    382.77x = 528.66 × 252.36
  4. Step 4: Simplify right side
    382.77x = 133,412.64
  5. Step 5: Solve for x
    x = 133,412.64/382.77
  6. Step 6: Final answer
    x = 348.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.