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Finding the Fourth Proportional to 381.53, 525.60 and 314.70

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Solution

The fourth proportional to 381.53, 525.60 and 314.70 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.53 : 525.60 = 314.70 : x
  2. Step 2: Convert to fraction form
    381.53/525.60 = 314.70/x
  3. Step 3: Cross multiply
    381.53x = 525.60 × 314.70
  4. Step 4: Simplify right side
    381.53x = 165,406.32
  5. Step 5: Solve for x
    x = 165,406.32/381.53
  6. Step 6: Final answer
    x = 433.54

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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.