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Finding the Fourth Proportional to 382.04, 527.27 and 347.53

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Solution

The fourth proportional to 382.04, 527.27 and 347.53 is: 479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 527.27 = 347.53 : x
  2. Step 2: Convert to fraction form
    382.04/527.27 = 347.53/x
  3. Step 3: Cross multiply
    382.04x = 527.27 × 347.53
  4. Step 4: Simplify right side
    382.04x = 183,241.78
  5. Step 5: Solve for x
    x = 183,241.78/382.04
  6. Step 6: Final answer
    x = 479.64

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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.