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Finding the Fourth Proportional to 382.62, 528.27 and 235.51

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Solution

The fourth proportional to 382.62, 528.27 and 235.51 is: 325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.62 : 528.27 = 235.51 : x
  2. Step 2: Convert to fraction form
    382.62/528.27 = 235.51/x
  3. Step 3: Cross multiply
    382.62x = 528.27 × 235.51
  4. Step 4: Simplify right side
    382.62x = 124,412.87
  5. Step 5: Solve for x
    x = 124,412.87/382.62
  6. Step 6: Final answer
    x = 325.16

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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.