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Finding the Fourth Proportional to 382.64, 527.45 and 320.67

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Solution

The fourth proportional to 382.64, 527.45 and 320.67 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.64 : 527.45 = 320.67 : x
  2. Step 2: Convert to fraction form
    382.64/527.45 = 320.67/x
  3. Step 3: Cross multiply
    382.64x = 527.45 × 320.67
  4. Step 4: Simplify right side
    382.64x = 169,135.79
  5. Step 5: Solve for x
    x = 169,135.79/382.64
  6. Step 6: Final answer
    x = 442.03

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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.