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Finding the Fourth Proportional to 382.44, 528.03 and 313.32

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Solution

The fourth proportional to 382.44, 528.03 and 313.32 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 528.03 = 313.32 : x
  2. Step 2: Convert to fraction form
    382.44/528.03 = 313.32/x
  3. Step 3: Cross multiply
    382.44x = 528.03 × 313.32
  4. Step 4: Simplify right side
    382.44x = 165,442.36
  5. Step 5: Solve for x
    x = 165,442.36/382.44
  6. Step 6: Final answer
    x = 432.60

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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.